{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "2Phase_RelPerm_Models.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyO4oSqZu50LdT4cP3jyBqpT",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Divyanshu-ISM/Oil-and-Gas-data-analysis/blob/master/2Phase_RelPerm_Models.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nYAkGqgAUpwe",
        "colab_type": "text"
      },
      "source": [
        "#2 Phase Relative Permeability Models\n",
        "\n",
        "##Divyanshu Vyas | dvyas13ad@gmail.com"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0OD01E-sUzKK",
        "colab_type": "text"
      },
      "source": [
        "1. **Corey's 2 Phase Model - Valid for Drainage in a Consolidated Rock.**\n",
        "\n",
        "$Swn = \\frac {Sw - Swirr}{1 - Swirr}  $\n",
        "\n",
        "$Krw = Swn^4$\n",
        "\n",
        "$Kro = (1 - Swn)^2 * (1 - Swn^2)$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yTT0mjsmUoLF",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JNdz0Nn0VVpr",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 490
        },
        "outputId": "5cff9488-f5b2-4833-dbd0-f1710b4b2269"
      },
      "source": [
        "Sw = np.linspace(0,1,100)\n",
        "\n",
        "Swirr = 0.20\n",
        "\n",
        "Swn = (Sw - Swirr)/(1-Swirr)\n",
        "\n",
        "Krw = Swn**4\n",
        "\n",
        "Kro = ((1 - Swn)**2)*(1 - Swn**2)\n",
        "\n",
        "plt.style.use('default')\n",
        "plt.plot(Sw,Krw,Sw,Kro,label=['Krel-water(Wetting P.)','Krel-Oil(Non-Wetting P.)'],linewidth=3)\n",
        "plt.title(\"Rel-Perm by Corey's Model\")\n",
        "plt.xlabel('Sw')\n",
        "plt.ylabel('Krel(o,w)')\n",
        "plt.grid()\n",
        "plt.legend(loc='best')\n"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f4c4648c518>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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4Jk+eDEdHR7x58wZ37txBbGwscnJyZDISWoqePXti6NChmDt3LjgcDiIjIwGANRUnJigoiPELWbVqlUzl6+jo4NixY/Dx8YGdnR0rQvHff/+NAwcOMEvJ9fX1sWTJEqxYsQJeXl4YMWIEMjIyEBkZid69e7/T8ABqjJXDhw9j5syZSEhIQP/+/SEUCvHgwQMcPnwYZ8+eZaYwAcDe3h49e/ZkHJEdHBwaLL+0tBQdO3aEv78/bG1toaGhgQsXLiA1NbXR8YUA1DstVBtfX1/w+XwsW7YMOTk5sLW1xblz53DixAnMmzeP8bGxs7PDhAkTEBkZiZKSEri4uODixYv4559/JMoMDw9HQkIC+vbti2nTpqF79+4oLCzE33//jQsXLqCwsLDR90IgNIq2W6hFILzf1F5aWxehUEh36dKF7tKlC/327Vuapmn64cOHdFBQEG1oaEgrKyvTJiYm9PDhw+nY2FjmusYuBe/Ro8c785WWltJLliyhu3btSquoqNDt27enXVxc6A0bNtBVVVU0Tf+35Hb9+vUS14uXgufn57PSJ02aRKurqzdZLgD07Nmz6ZiYGNrS0pLmcDi0vb19vfdeWVlJ6+jo0Nra2nR5efk7y6/Ns2fP6Pnz59NWVlY0l8ul1dTUaEdHR3r16tV0SUkJK29ERATdrVs3WllZme7QoQP95Zdf0kVFRTLfY1VVFb1u3Tq6R48eNIfDoXV0dGhHR0d6xYoVEnXRNE3/8MMPNAB6zZo177yPyspKeuHChbStrS2tqalJq6ur07a2tnRkZOQ7r22ovdam7lJwmq5pQ/Pnz6eNjY1pZWVl2tLSkl6/fj0tEolY+crLy+m5c+fSenp6tLq6Ou3r60s/fvxYYik4TdP0v//+S8+ePZs2NTWllZWVaUNDQ3rgwIF0VFQUk4csBSe0FBRNy9kzkEAgEJrA27dvYWxsDF9fX+zevbutxZEbW7duxfz585GTkyOxIo1AILQMxOeGQCC8Fxw/fhz5+fkICgpqa1HkBk3T2L17Nzw8PIhhQyC0IsTnhkAgtCnXr19HWloaVq1aBXt7e3h4eLS1SM3mzZs3iI+PR0JCAu7cuYMTJ060tUgEwicFMW4IBEKb8tNPPyEmJgZ2dnbYs2dPW4sjF/Lz8zFx4kS0a9cOS5cuxYgRI9paJALhk4L43BAIBAKBQPioID43BAKBQCAQPiqIcUMgEAgEAuGj4pPzuRGJRHj27Bk0NTXfGT6dQCAQCATC+wFN0ygtLYWxsTEUFBoem/nkjJtnz56xNrcjEAgEAoHw4fD48WN07NixwTyfnHEj3hju8ePH0NLSkmvZ1dXVOHfuHIYMGQJlZWW5lk34D6Ln1oHouXUgem49iK5bh5bS8+vXr2Fqasra4LU+PjnjRjwVpaWl1SLGjZqaGrS0tMiD04IQPbcORM+tA9Fz60F03Tq0tJ5lcSkhDsUEAoFAIBA+KohxQyAQCAQC4aOCGDcEAoFAIBA+Kj45nxtC6yMUClFdXS238qqrq6GkpISKigoIhUK5lUtgQ/TcOhA9tx5E161Dc/SsoqLyzmXeskCMG0KLQdM0Xrx4geLiYrmXa2hoiMePH5NYRS0I0XPrQPTcehBdtw7N0bOCggI6deoEFRWVZslAjBtCiyE2bAwMDKCmpia3l4lIJIJAIICGhoZcLHyCdIieWwei59aD6Lp1aKqexUF2nz9/DjMzs2Z9M4hxQ2gRhEIhY9jo6enJtWyRSISqqipwuVzygmpBiJ5bB6Ln1oPounVojp719fXx7NkzvH37tlnLyMmvS2gRxD42ampqbSwJgUAgED4UxNNRzfWJIsYNoUUh89oEAoFAkBV5fTOIcUMgEAgEAuGjghg38oSm21oCghzw9PQERVGgKAq3bt1q9fr37NmDdu3atXq98iYjIwOGhoYoLS1ta1EYLCwssGXLlrYWg+F///sfHBwcIBKJ2loUmQkNDYWdnV2LlTd58mSMHDmSlefVq1cwMDBATk6O3Or90PH09MS8efPaWgyG+/fvo2PHjnjz5k2D+SwsLJj3q7xX0taGGDfy4m0VFOOC0bEwpa0lIciBadOm4fnz5+jZsycAICcnhzVcmpiYKPFwPnv2DDY2NnB3d0dJSUmry9wcpH1QmsuSJUvw1VdfQVNTEwKBAMrKyjh48CArT0BAACiKkvhoWVhYYPny5TLVI81gqc9ATE1NxfTp0xt3I02g9gtcXV0dDg4OOHLkiEQ+Ly8vKCsr4/DhwxLXJyYmylxfYmIiLCwsmGNp95+eng5TU1OMHTsWVVVVjbqfpiAUCrF582bY2NiAy+VCR0cH3t7eSElhvyNDQkJw8eLFBstavXo1/Pz8mHsUP48GBgYSxrOdnR1CQ0PleSsSGBkZITw8nJW2ePFiUBQl8bt5enri888/l6lcaQaLtHcNAMTFxWHVqlWNF76R1O7scblcdO/eHZGRkRL5unfvjn79+mHTpk0S1+/Zs4c5Tk1NxdGjR1tabGLcyIW3VUDsFCg8iIdDbhSoO4fffQ3hvUZNTQ2GhoZQUpJtQeHDhw/h6uoKc3NznD17Ftra2hJ5hELhB9VDbwrij2ZeXh5OnjyJyZMnAwA0NDTg5OQk8eJPTEyEqakpKz07Oxu5ubkYMGCA3OXT19dvNSf3lStX4vnz57h58yZ69+6N8ePH4+rVqxL5Jk2ahKioqBaVJTU1FW5ubvDy8sKhQ4ekxhCRp8FD0zQCAgKwcuVKfP3110hPT2d+a09PTxw/fpzJq6Gh0eCKyrKyMuzevRvBwcES50pLS7Fhwwa5yS0rnp6eEm05ISFBoi1XVFTgjz/+aJG2rKurK9Pu2PJA3Nm7f/8+xo0bh9mzZ+PAgQMS+aZMmYKffvoJb9++rbcsfX196OrqtqS4AIhx03yEb4Ejk4EHJwEAFGgo/j4HSJPspX3KiEQ0Xgkq5fZXWFbdqPwiUctNGaalpcHV1RXOzs44fvw4VFVVAfzXe46Pj0f37t3B4XCQl5eHyspKhISEwMTEBOrq6ujbt2+jeul3796FgoIC8vPzAQCFhYVQUFBAQEAAkycsLAyurq4Aaoyq4OBgdOrUCaqqquDxeNi6dSuTNzQ0FL/++itOnDjB9NDE8jx58gTjx49Hu3btoKurCz8/P9Yoi3jEZ/Xq1TA2NgaPxwMAHD58GLa2tjAxMWHy8vl81n2mp6ejoqICX375JSs9MTERHA4Hzs7OAIArV67Azc0NqqqqMDU1xdy5c5mhb09PT+Tm5mL+/Pks2adMmYKSkhImTdyTrzvKQ1EUdu3ahVGjRkFNTQ2WlpaIj49n6Ts+Ph6Wlpbgcrng8/n49ddfZRpS19TUhKGhIaysrLB9+3aoqqri999/l8g3fPhw3Lx5Ew8fPmywvKZy6dIlDBgwAMHBwdi5cyezNFc8HbRr1y506tQJXC4XAFBcXIypU6dCX18fWlpaGDBgAG7fvt2oOg8fPozY2Fjs3bsXU6dORadOnWBra4uoqCiMGDECU6dOZX7Dd01znT59GhwOB/369ZM499VXX2HTpk14+fJlvdcXFRUhKCgIOjo60NDQgL+/P7Kyspjz4uf07NmzsLa2hoaGBry8vPD8+fN6y+Tz+UhJSWE+4qWlpbh58yYWLVrEasvXrl1DZWUl+Hw+gJpn19vbGxoaGujQoQM+//xzFBQUAKh5lpKSkrB161am3ebk5DDX6ujogKIopsNQd5THwsICa9aswRdffAFNTU2YmZlJGM1Xr16FnZ0duFwunJyccPz4cZmm38Wdvc6dOyM0NFTqcwIAgwcPRmFhIZKSkhosrzUgcW6ai4IioNeFlUTRIuDYdICiABv/NhLs/aKorAqOYRfarP6//m8Q9DQ4ci/36tWrCAwMRGBgILZt2ybh6V9WVoZ169Zh165d0NPTg4GBAebMmYP79+/j4MGDMDY2xrFjx+Dl5YU7d+7A0tLynXX26NEDenp6SEpKgr+/P5KTk5ljMUlJSfD09ARQE3OiY8eOOHLkCPT09HD16lVMnz4dRkZGGDduHEJCQpCeno7Xr18jOjoaQE2vsLq6Gv7+/nBxcUFycjKUlJQQFhYGLy8vpKWlMb3/ixcvQktLC+fPn2fqT05OhpOTE0tuPp+PtWvX4vnz5zAyMkJCQgJcXV0xYMAA7Nixg8mXkJAAZ2dncLlcPHz4EF5eXggLC8Mvv/yC/Px8zJkzB3PmzEF0dDTi4uJga2uL6dOnY9q0aYzsW7ZswXfffYeMjAwANaMD9bFixQr88MMPWL9+PbZt24bAwEDk5uZCV1cX2dnZ8Pf3x9dff42pU6fi5s2bCAkJeedvVBclJSUoKytLHR0xMzODgYEBkpOTZfr9G8OxY8cwceJEhIaGYtGiRRLn//nnHxw9ehRxcXFQVFQEAIwdOxaqqqo4c+YMtLW1sWPHDgwcOBCZmZky97j3798PKysr+Pr6SpxbsGAB4uLicP78eZmmQpOTk+Ho6Cj13IQJE3D+/HmsXLkSERERUvNMnjwZWVlZiI+Ph4aGBhYuXIjhw4fj/v37TByVsrIybNiwAb/99hsUFBTw2WefISQkBPv27ZNaJp/Ph0AgQGpqKpydnZGcnAwrKyuMGTMGISEhqKioAJfLRUJCAiwsLGBhYYHi4mIMGDAAU6dOxebNm1FeXo5FixZh3LhxuHTpErZu3YrMzEz07NkTK1euBFAzynH06FGMGTMGGRkZ0NLSYjpP0ti4cSNWrVqFpUuXIjY2Fl9++SU8PDzA4/Hw+vVr+Pr6wsfHB/v370dubm6TfXZUVVWltmUVFRXY2dnhypUr6N27d5PKlhdk5Ka5UBQweCXgPIedTouAuGnA3ZafWyS0PBYWFqClOIyPGjUKvr6+iIiIkLqEsbq6GpGRkXBxcQGPx0NBQQGio6Nx5MgRuLm5oUuXLggJCYGrqytjWLwLiqLg7u7O9BDFIxWVlZV48OABqqurcfXqVXh4eAAAlJWVsWLFCjg5OaFTp04IDAzElClTGD8PDQ0NqKqqgsPhwNDQEIaGhlBRUcGhQ4cgEomwc+dO2NjYwNraGtHR0cjLy2P1TtXV1bFr1y706NEDPXr0AADk5ubC2NiYJXf//v2hoqLCktvDwwOOjo4oKChAdnY2gBrDTNxbXbt2LQIDAzFv3jxYWlrCxcUFP/74I/bu3YuKigro6upCUVGRGSURy66trQ2Kopi0hoybyZMnY8KECejatSvWrFkDgUCAP//8EwCwY8cO8Hg8rF+/HjweDwEBAUzPWVaqqqqwdu1alJSU1Ds9YWhoiLy8POY4JyeHMU5lwdPTU8JvSSAQYOzYsVi4cKFUw0Ys2969e2Fvb49evXrhypUr+PPPP3HkyBE4OTnB0tISGzZsQLt27RAbGyuzPJmZmbC2tpZ6TpyemZkpU1nS2pIYiqIQHh6OqKgoqSNfYqNm165dcHNzY0aPnj59ypoaq66uxs8//wwnJyc4ODhgzpw5DfoBWVpawsTERKItGxoawszMDNeuXWPSxW05IiIC9vb2WLNmDbp16wZ7e3v88ssvSEhIQGZmJrS1taGiosKMkhgaGkJRUZExKA0MDGBoaCh1yluMj48PZs2aha5du2LRokVo3749EhISANQYnBRFYefOnejevTu8vb2xcOHCBjQviVAoRExMDNLS0upty8bGxsjNzWWOExMTG/3MyANi3MgDigKGhEHYZwY7nRYBR6cB9461jVyEFsfPzw/Hjh1DcnKy1PMqKiro1asXc3znzh0IhUJYWVlBQ0OD+UtKSpL6cs7Ly2PlW7NmDQDAw8ODebEmJSVhwIABjMGTmpqK6upq9O/fnyln+/btcHR0hL6+PjQ0NBAVFcX6mEojLS0Njx49gra2NlO/rq4uKioqWLLa2NhI+HCUl5cz0xxi1NTU0Lt3b5bcnp6eUFJSgouLCxITE/Ho0SPk5eUxH4Tbt29jz549LB0MHToUIpGIMYaaS+3fR11dHVpaWsw0R0ZGhkQPtE+fPjKVu2jRImhoaEBNTQ3r1q1DeHg4hg0bJjUvl8tFWVlZE+9AOqqqqhg8eDB27tyJ9PR0qXnMzc2hr6/PHN++fRsCgQB6enosnWdnZ0ttn8nJyREhgNwAACAASURBVKx8tUc6pHUGmoK0tlSboUOHwtXVVaoDenp6OpSUlNC3b18mTVdXFzwej6UTNTU1dOny3wi8kZER0wbqu8fafjeJiYmMMSp+NsvLy3H9+nVWW05ISGCV1a1bNwCQ25Rk7bYsNu5rt+VevXqxdClrW46MjGQ6QdOmTcP8+fPx5ZdfSs2rqqoq97bcFMi0lLygKIgGhSEnOxtd8s/9l04LgdhgQEEZsB7edvIRWoQdO3bg22+/hbe3N06fPg13d3fWeVVVVdaIjkAggKKiIv766y9mGkCMtNEFY2Nj1ny4uBcnnm/PysrC/fv34erqigcPHiAxMRFFRUVwcnJiHGcPHjyIkJAQbNy4Ec7OztDU1MT69etx/fr1Bu9NIBDAzs4O+/fvlwihXvuDqK6uLnFt+/btUVRUJJHO5/Nx6NAh3Lt3D+Xl5XBwcABQ80FISEiASCSCmpoa8zESCASYMWMG5s6dK1GWmZlZg/LLSt0Q7xRFycXxe+HChZg8eTLjX9FQcLLi4mKWTuWBoqIijh8/jtGjR4PP5yMhIUFiNKXubycQCGBkZCTVB0za6jMnJydW++zQoQMAwMrKql6DSpxuZWUl033U15ZqEx4eDmdn50aPRIiR1gbExll998jn8/H111/j1atXuHnzJjNS6uHhgR07dsDd3R1VVVXMCIdAIICvry/WrVsnUb+RkVGT5JblPuTRlgMDA7Fs2TKoqqrCyMiowS0VCgsL0blz52bX2VyIcSNPKAp3TQJhYW4GxRu7/kunhTVOxxMOAJaD20y8tkRHTQV//d8guZQlEolQKhBAsxGbsumoNW+H2fqgKApRUVFQUFCAj48PTp06xbzkpGFvbw+hUIiXL1/Czc3tneUrKSmha9euEuk2NjbQ0dFBWFgY7OzsoKGhAU9PT6xbtw5FRUWsKY2UlBS4uLhg1qxZTFrdnqKKiopEuHN7e3scOnQIBgYGjY67Y29vj/v370uk8/l8hIWFYf/+/XB1dWUMPHd3d0RFRYGmaWb6CgAcHBxw//59qTpoSHZpaU2Bx+Ph9OnTrLTU1FSZrm3fvn2DcoupqKhAdna2XGPHiOFwOIiLi4O/vz/4fD4uXbqE7t2715vfwcEBL168gJKSEmtpeX2oqqpKvceAgABMnDgRv//+u4TfzcaNG6Gnp4fBg2V7F9rb2yMmJqbBPH369MHo0aOxePFiVrq1tTXevn2L69evw8XFBUDNxzcjI6NBPdSmvnvk8/l48+YNNm3aBEtLSxgYGACoacvBwcE4c+YMM30F1Oj26NGjsLCwqHcVZn1tGWj+dgQ8Hg8xMTGorKwEh1PjfyhrW9bW1papLQM1TtOjR49uspzygkxLyRuKgmjIWqD3VHa6qBo49BnwqO29yNsCBQUKehocuf3pqik3Kr+CQsttA0FRFH7++WcEBQXBx8enwZVPVlZWCAwMRFBQEOLi4pCdnY0///wTa9euxalTpxpVp7u7O/bt28cYMr169UJlZSUuXrzIMrAsLS1x48YNnD17FpmZmVi+fLnES83CwgJpaWnIyMhAQUEBqqurERgYCD09PYwaNQrJycnIzs5GYmIi5s6diydPnjQo39ChQ3Ht2jWJF7KLiws4HA62bdvGkrFPnz54+fIlTpw4wQzjAzVTO1evXsWcOXNw69YtZGVl4cSJE5gz5z8fNwsLC1y+fBlPnz5lVp5YWFhAIBDg4sWLKCgoaPIw+YwZM/DgwQMsWrQImZmZOHz4MBOzoylh4iMiIjBw4EBW2h9//MFaHSZvOBwOjh49ir59+4LP5+PevXv15h00aBCcnZ0xcuRInDt3Djk5Obh69SqWLVuGGzduyFxnQEAARo0ahUmTJmH37t3IyclBWloaZsyYwfjASBvxk8bQoUNx7969d47erF69GpcuXWKcyIGatu/n54dp06bhypUruH37NqZPnw4TExP4+fnJfD/S6Ny5M8zMzCTasqmpKYyNjREVFcVqy7Nnz0ZhYSEmTJiA1NRUPHz4EGfPnsWUKVOY58TCwgLXr19HTk4OCgoKIBKJYG5uDoqicPLkSeTn50MgEDRJ3okTJ0IkEmH69OlIT0/H2bNnmWX0TWnLx44dY6bVxOTk5ODp06cYNEg+HdnmQIybloCiAO/1gMMkdvrbCuBAAJB7rW3kIrQYFEVh+/btmDJlCoYNG8Y48UkjOjoaQUFBWLBgAXg8HkaOHInU1NRGT7N4eHhAKBQyxo2CggLc3d1BURTL32bGjBkYPXo0xo8fj759++LVq1esURygJo4Fj8eDk5MT9PX1kZKSAjU1NZw6dQqmpqYYPXo0rK2tERwcjIqKCmhpaTUom7e3N5SUlHDhAnuFHJfLRb9+/VBaWsoaXRIv9S0tLWV9EHr16oWkpCRkZmbCzc0N9vb2+O6771gOpitXrkROTg66dOnCTO24uLhg5syZGD9+PPT19fHDDz80SrdiOnXqhNjYWMTFxaFXr1746aefsGzZMkbmxlJQUCAxanbw4EH4+/s3GH/H09OzWU6ZKioqiI2NhYuLC/h8Pu7evSs1H0VRzPTqlClTYGVlhYCAAOTm5jLTMbJAURQOHz6MpUuXYvPmzeDxeHBzc0Nubi4SExMbFTDSxsYGDg4OEoEO62JlZYUvvvgCFRUVrPTo6Gg4Ojpi+PDhzHNx8uTJZu04LYbP50u0ZaDm2azblo2NjZGSkgKhUIghQ4bAxsYG8+bNQ7t27ZgR6JCQECgqKqJ79+7Q19dHXl4eTExMsGLFCixevBgdOnRgGfaNQUtLC7///jtu3boFOzs7LFu2DN999x0ANOjTVB8lJSUsQxIADhw4gCFDhsDc3LxJMsoV+hOjpKSEBkCXlJTIveyqqir6+PHjdFVVVU2CUEjTR6fT9Pda7L/VJjT9+Ibc63+fKC8vp+/fv0+Xl5fLvWyhUEgXFRXRQqFQ7mXTNE17eHjQX3/9dYuU/SHRXD1HRETQQ4YMkbNUbU9YWBjdsWNHuZSVn59P6+rq0rdu3WpQz2ZmZnR0dLRc6vwQOXnyJG1tbd3sZ76l3x0fGjExMbSysjJdVlbW7LIqKytpMzMz+sqVK+/Uc0JCAg2ALioqkjjX0LejMd9v4nPTkigoAH7ba0Zs7v+37BBVpUDMaGDKGaCDbPO+hNYlMjISu3btwrVr12BjY9PW4nyQzJgxA8XFxSgtLW21SKotQWRkJHr37g09PT2kpKRg/fr1Te491yUnJwcREREN9nTv3bsHbW1tBAUFyaXOD5Fhw4YhKysLT58+hampaVuL88Gyd+9edO7cGSYmJrh9+zYTZ6eh2DmykpeXh6VLl6J///4NOjH36NEDjx49anZ974IYNy2NohIwZhcgrAIyajkmVhQDv42sMXDqBAEktC379u1DeXk5APmtyPkUUVJSYqZwPmSysrIQFhaGwsJCmJmZYcGCBViyZIlcyhbHVXn9+nW9eXr06IG0tDS51Pch8z5tEvmh8uLFC3z33Xd48eIFjIyMMHbsWKxevVouZXft2lUmp+PTp0+juroaAN45vd0cKJr+tLayfv36NbS1tVFSUiJ3xVZXV+P06dPw8fGRnM99WwkcmAA8rBMYStsM+OJ/gLYJPibEK0Bqh3WXFyKRCK9fv4aWlpbMq6UIjYfouXUgem49iK5bh+bouaFvR2O+3236616+fBm+vr4wNjYGRVGsiJHvIiUlBUpKSi2yfLJFUOIA42MAszorIkryakZw3hS0jVwEAoFAIHxktKlx8+bNG9ja2mL79u2Nuq64uBhBQUESSyrfe1TUgImHACNbdnpBJvDbKKCipG3kIhAIBALhI6JNjRtvb2+EhYVh1KhRjbpu5syZmDhxYovFhWhRuNrAZ3FA+zrROV+k1UxbVZe3jVwEAoFAIHwkfHAOxdHR0Xj06BFiYmIQFhb2zvyVlZWorKxkjsWOe9XV1YxTk7wQl/fOclW0gQmxUNo7DFTJ4//Sc1MgOjwZQv89gMIH99OwqK6uBk3TEIlEcgn/XRuxm5i4fELLQPTcOhA9tx5E161Dc/QsEolA0zSqq6sltqhpzDf7g/qCZmVlYfHixUhOTq43fHVd1q5dixUrVkiknzt3rsGgWc3h/PnzMuVTM5kLtzdh4L79bzpKIet/eLxjLG6ZTa0JBviBoqSkBENDQwgEAlRVVbVIHaWlpS1SLoEN0XPrQPTcehBdtw5N0XNVVRXKy8tx+fJlvH37lnWuMZHGPxjjRigUYuLEiVixYoXMG64BwJIlS/DNN98wx69fv4apqSmGDBnSIqulzp8/j8GDB8se/fLf3qB/GwGq8r+loOaFyehoZQvRwFC5yteaVFRU4PHjx9DQ0JD7aimappnYKU0JG06QDaLn1oHoufUgum4dmqPniooKqKqqwt3dXepqqcYI8V4AgD527Fi954uKimgAtKKiIvNHURSTdvHiRZnqadUIxbKSk0LTqwwkIxknb5a7jK3Fhx6hGAANgL5582aL1NEQ0dHRtLa2dqvXW5fm6vnBgwd0hw4d6NevX8tZsqZjbm5Ob978/jxXZ86coW1tbelXr159MFFzv//+e9rW1rbFyps0aRLt5+fHylNQUEDr6+vT2dnZzarrY4pQ/L5FUr937x5tYmJCCwSCBvVsbm7OvF9bMkLxB7PQX0tLC3fu3MGtW7eYv5kzZ4LH4+HWrVvo27dvW4vYdMxdgLG/AhR7fhEXvgduHWgbmT5xpk2bhufPn6Nnz54AaiLJ1u6BJCYmgqIoFBcXM2nPnj2DjY0N3N3dUVLyYa18mzx5cqP2+5GFJUuW4KuvvoKmpiYEAgGUlZVx8OBBVp6AgABQFIWcnBxWuoWFBZYvXy5TPRYWFtiyZQsrbc+ePVJ3Mk9NTcX06dMbdyNNwMLCAhRFgaIoqKurw8HBAUeOHJHI5+XlBWVlZYl9kywsLBrcgLUuiYmJrF28pd1/eno6TE1NMXbs2BabKq6NUCjE5s2bYWNjAy6XCx0dHXh7eyMlJYWVLyQkBBcvXqynlBpWr14NPz8/5h7Fz6OBgYHE1IednR1CQ0PleSsSGBkZITw8nJW2ePFiUBQl8bt5enri888/l6lcT09PiWCF0t41ABAXF4dVq1Y1XvhG4unpybRlLpeL7t27IzIyUiJf9+7d0a9fP2zatEnievFms0DNM3j06NGWFrttV0sJBALGUAGA7Oxs3Lp1C3l5eQBqXo7ikOMKCgro2bMn68/AwABcLhc9e/aUeYfZ9xaeV81WDXU5MRvIks2HhyA/1NTUYGhoKLNv18OHD+Hq6gpzc3OcPXsW2traEnmEQuFH78Qo/mjm5eXh5MmTzGaPGhoacHJyknjxJyYmwtTUlJWenZ2N3NxcDBgwQO7y6evrt5ivXV1WrlyJ58+f4+bNm+jduzfGjx+Pq1evSuSbNGkSoqKiWlSW1NRUuLm5wcvLC4cOHYKKiopEHnkaPDRNIyAgACtXrsTXX3+N9PR05rf29PRkxTTT0NCAnp5evWWVlZVh9+7dCA4OljhXWlrK7Gzdmnh6ekq05YSEBIm2XFFRgT/++KNF2rKurm6rbWsi7uzdv38f48aNw+zZs3HggGTHe8qUKfjpp58kfGVqo6+vD11d3ZYUF0AbGzc3btyAvb097O3tAQDffPMNs+svADx//pwxdD4J7CYAQ+qEwqaFwOEg4MlfbSOTvBCJagIVyumPKnvVuGta0KhIS0uDq6srnJ2dcfz4cWafFnHvOT4+Ht27dweHw0FeXh4qKysREhICExMTqKuro2/fvo3qpd+9excKCgrIz88HABQWFkJBQQEBAQFMnrCwMLi6ugKoMaqCg4PRqVMnqKqqgsfjYevWrUze0NBQ/Prrrzhx4gTTQxPL8+TJE4wfPx7t2rWDrq4u/Pz8WKMs4hGf1atXw9jYGDweDwBw+PBh2NrawsTkv8jbfD6fdZ/p6emoqKjAl19+yUpPTEwEh8NhQj1cuXIFbm5uUFVVhampKebOnYs3b94AqPnI5ObmYv78+SzZp0yZgpKSEiZN3JOvO8pDURR27dqFUaNGQU1NDZaWloiPj2fpOz4+HpaWluByueDz+fj111+l9qTroqmpCUNDQ1hZWWH79u1QVVXF77//LpFv+PDhuHnzpsRu4fLi0qVLGDBgAIKDg7Fz504mYmxoaCjs7Oywa9cuVjTY4uJiTJ06Ffr6+tDS0sKAAQNw+/btRtV5+PBhxMbGYu/evZg6dSo6deoEW1tbREVFYcSIEZg6dSrzG4rlqI/Tp08zu8bX5auvvsKmTZvw8uXLeq8vKipCUFAQdHR0oKGhAX9/f2RlZTHnxc/p2bNnYW1tDQ0NDXh5eeH58+f1lsnn85GSksJ8xEtLS3Hz5k0sWrSI1ZavXbuGyspKZnfwu3fvwtvbGxoaGujQoQM+//xzFBTUBHCdPHkykpKSsHXrVqbd5uTkMNfq6OiAoiimw1B3lMfCwgJr1qzBF198AU1NTZiZmUkYzVevXoWdnR24XC6cnJxw/PhxUBTFDDDUh7iz17lzZ4SGhkp9TgBg8ODBKCwsRFJSUoPltQZtatx4enqCpmmJP/EQ1p49exp86YeGhr7zR/ngcJkDuHzFTqsuA/aPBQr+aRuZ5EF5IbC+i1z+FDZaQjvKAQobLWW/rrywRW7r6tWr8PDwwJgxYxATEyMx0lNWVoZ169Zh165duHfvHgwMDDBnzhxcu3YNBw8eRFpaGsaOHQsvLy/WC7chevToAT09PeYFkpyczDoGgKSkJHh6egKoWVrZsWNHHDlyBPfv38d3332HpUuXMlMhISEhGDduHPNCf/78OVxcXFBdXQ1/f39oamoiOTkZKSkpzIu/di//4sWLyMjIwPnz53Hy5ElGJicnJ5bcfD4fGRkZzEcjISEBrq6uGDBgAOs5T0hIgLOzM7hcLh4+fAgvLy+MGTMGaWlpOHToEK5cucJsXBkXF4eOHTsyoyRi2bds2QItLS0mLSQkpF59rlixAuPGjUNaWhp8fHwQGBiIwsKa9pKdnQ1/f3+MHDkSt2/fxowZM5q0X5aSkhKUlZWljo6YmZnBwMAAycnJjS73XRw7dgzDhg3D//3f/2HdunUS5//55x8cPXoUcXFxzLt07NixePnyJc6cOYO//voLDg4OGDhwIKMTWdi/fz+srKzg6+srcW7BggV49eqVzKtKk5OT4ejoKPXchAkT0LVrV6xcubLe6ydPnowbN24gPj6emRIbPnw4a1lxWVkZNmzYgN9++w2XL19GXl5eg22Gz+dDIBAgNTWVkdHKygpjxozB9evXUVFRAaCmLVtYWMDCwgLFxcUYMGAA7O3tcePGDfzvf//Dv//+i3HjxgEAtm7dCmdnZ2aU5Pnz5zA1NWWmcMTPTu2OSV02btwIJycn3Lx5E7NmzcKXX36JjIwMADXOuL6+vrCxscHff/+NVatWYdGiRfWW1RCqqqpS27KKigrs7Oxw5cqVJpUrTz4Yn5tPikErAZtx7LSyV0DMKKD0RdvI9IljYWHBxG6ozahRo+Dr64uIiAipqwKqq6sRGRkJFxcX8Hg8FBQUIDo6GkeOHIGbmxu6dOmCkJAQuLq6Ijo6WiZZKIqCu7s7YxCIRyoqKyvx4MEDVFdXM0YXACgrK2PFihVwcnJCp06dEBgYiClTpjDGjYaGBlRVVcHhcGBoaAhDQ0OoqKjg0KFDEIlE2LlzJ2xsbGBtbY3o6Gjk5eWxjBF1dXXs2rULPXr0QI8ePQAAubm5MDY2Zsndv39/qKiosOT28PCAo6MjCgoKkJ2dDaDGMBP3VteuXYvAwEDMmzcPlpaWcHFxwY8//oi9e/eioqICurq6UFRUZEZJxLJra2uDoigmTUNDo159Tp48mflIrlmzBgKBAH/++ScAYMeOHeDxeFi/fj14PB4CAgKYnrOsVFVVYe3atSgpKal3esLQ0JA1Sp2Tk8MYp7Lg6ekp4bckEAgwduxYLFy4sN6PWFVVFfbu3Qt7e3v06tULV65cwZ9//okjR47AyckJlpaW2LBhA9q1a4fY2FiZ5cnMzIS1tbXUc+L0zMxMmcqS1pbEUBSF8PBwREVFSR35ysrKQnx8PHbt2gU3Nzdm9Ojp06esqbHq6mr8/PPPzEamc+bMadAPyNLSEiYmJhJt2dDQEGZmZrh27RqTLm7LERERsLe3x5o1a9CtWzfY29vjl19+QUJCAjIzM6GtrQ0VFRVmlMTQ0BCKiorMFI6BgQEMDQ2lTnmL8fHxwaxZs9C1a1csWrQI7du3R0JCAoAag5OiKOzcuRPdu3eHt7c3Fi5c2IDmJREKhYiJiUFaWlq9bdnY2Bi5ubnMcWJiYqOfGXlAjJv3EQWFGv+bLnUaT3EesG8sUEliNLwv+Pn54dixY/X2ulVUVNCrVy/m+M6dOxAKhbCysoKGhgbzl5SUJPXlnJeXx8q3Zs0aAICHhwfzYk1KSsKAAQMYgyc1NRXV1dXo378/U8727dvh6OgIfX19aGhoICoq6p1TvmlpaXj06BG0tbWZ+nV1dVFRUcGS1cbGRsKHo7y8XGIZp5qaGnr37s2S29PTE0pKSnBxcUFiYiIePXqEvLw85oNw+/Zt7Nmzh6WDoUOHQiQSMcZQc6n9+6irq0NLS4uZ5sjIyEDv3r1Z+fv06SNTuYsWLYKGhgbU1NSwbt06hIeHY9iwYVLzcrncRsXwkAVVVVUMHjwYO3fuRHp6utQ85ubm0NfXZ45v374NgUAAPT09ls6zs7Olts/k5GRWvn379jHnpHUGmoK0tlSboUOHwtXVVaoDenp6OpSUlFgLTnR1dcHj8Vg6UVNTQ5cuXZhjIyMjpg3Ud4+1/W4SExMZY1T8bJaXl+P69eustpyQkMAqq1u3bgAgtynJ2m1ZbNzXbsu9evVi6VLWthwZGcl0gqZNm4b58+fjyy+/lJpXVVVV7m25KXwwcW4+OZRUgHF7gT3Dgee1pt5epAGHJ9XsUaUoYywdQouxY8cOfPvtt/D29sbp06fh7u7OOq+qqsoa0REIBFBUVMRff/0lEX1T2uiCsbExa+pV3IsTz7dnZWXh/v37cHV1xYMHD5CYmIiioiI4OTkxjrMHDx5ESEgINm7cCGdnZ2hqamL9+vW4fv16g/cmEAhgZ2eH/fv3S+zsW/uDKM2Zv3379igqKpJI5/P5OHToEO7du4fy8nI4ODgAqPkgJCQkQCQSQU1NjfkYCQQCzJgxA3PnzpUoy8zMrEH5ZaVuTCqKouTi+L1w4UJMnjyZ8a9oKN5HcXExS6fyQFFREcePH8fo0aPB5/ORkJAgMZpS97cTCAQwMjKS6g4gbfWZk5MTq3126NABAGBlZVWvQSVOlzVeWX1tqTbh4eFwdnZu9EiEGGltQGyc1XePfD4fX3/9NV69eoWbN28yI6UeHh7YsWMH3N3dUVVVxYxwCAQC+Pr6Sp0eNDIyapLcstyHPNpyYGAgli1bBlVVVRgZGTW403dhYSE6d+7c7DqbCzFu3mc4mkBgLLB7MFBUq5f68CLw+zzAL+LDiWKsqgsslE/vRCQSMQGiGnrIJOpvASiKQlRUFBQUFODj44NTp04xLzlp2NvbQygU4uXLl3Bzc3tn+UpKSujatatEuo2NDXR0dBAWFgY7OztoaGjA09MT69atQ1FREWtKIyUlBS4uLpg1axaTVrenqKKiAqFQKCHroUOHYGBgIPXD1hD29va4f/++RDqfz0dYWBj2798PV1dXxsBzd3dHVFQUaJpmpq8AwMHBAffv35eqg4Zkl5bWFHg8Hk6fPs1KE/tZvIv27ds3KLeYiooKZGdnN+hU21Q4HA7i4uLg7+8PPp+PS5cuoXv37vXmd3BwwIsXL6CkpMRaWl4fqqqqUu8xICAAEydOxO+//y7hd7Nx40bo6elh8ODBMt2Dvb09YmJiGszTp08fjB49GosXL2alW1tb4+3bt7h+/TpcXFwA1Hx8MzIyGtRDbeq7Rz6fjzdv3mDTpk2wtLSEgYEBgJq2HBwcjDNnzjDTV0CNbo8ePQoLC4t6V2HW15YBNLs983g8xMTEoLKyEhwOB4DsbVlbW1umtgzUOE2PHj26yXLKCzIt9b6joQ98dhRQq7NU8lYMkBgu/Zr3EQUFQL293P5oNb3GXSOrEdQEKIrCzz//jKCgIPj4+DToBG9lZYXAwEAEBQUhLi4O2dnZ+PPPP7F27VqcOnWqUXW6u7tj3759jCHTq1cvVFZW4uLFiywDy9LSEjdu3MDZs2eRmZmJ5cuXS7zULCwskJaWhoyMDBQUFKC6uhqBgYHQ09PDqFGjkJycjOzsbCQmJmLu3Ll48uRJg/INHToU165dk3ghu7i4gMPhYNu2bSwZ+/Tpg5cvX+LEiRPMMD5QM7Vz9epVzJkzB7du3UJWVhZOnDjBOBSLZb98+TKePn3KrDyxsLCAQCDAxYsXUVBQ0ORh8hkzZuDBgwdYtGgRMjMzcfjwYWbBQ1Mi3EZERGDgwIGstD/++IO1OkzecDgcHD16FH379gWfz8e9e/fqzTto0CA4Oztj5MiROHfuHHJycnD16lUsW7YMN27ckLnOgIAAjBo1CpMmTcLu3buRk5ODtLQ0zJgxg/GBkTV8x9ChQ3Hv3r13jt6sXr0aly5dYhxogZq27+fnh2nTpuHKlSu4ffs2pk+fDhMTE/j5+cl8P9Lo3LkzzMzMJNqyqakpjI2NERUVxWrLs2fPRmFhISZMmIDU1FQ8fPgQZ8+exZQpU5jnxMLCAtevX0dOTg4KCgogEolgbm4OiqJw8uRJ5OfnQyAQNEneiRMnQiQSYfr06UhPT8fZs2eZZfRNacvHjh1jptXE5OTk4OnTpxg0aFCTZJQnxLj5ENDrAkw8DCipstOTwoG/97aNTAQWFEVh+/btmDJlCoYNG8Y48UkjOjoaQUFBWLBgAXg8HkaOHInU1NRGaYmATAAAIABJREFUT7N4eHhAKBQyxo2CggLc3d1BURTL32bGjBkYPXo0xo8fj759++LVq1esURygJo4Fj8eDk5MT9PX1kZKSAjU1NZw6dQqmpqYYPXo0rK2tERwcjIqKinduXeLt7Q0lJSVcuHCBlc7lctGvXz+UlpayRpfES31LS0tZH4RevXohKSkJmZmZcHNzY0JF1HYwXblyJXJyctClSxdmasfFxQUzZ87E+PHjoa+vjx9++KFRuhXTqVMnxMbGIi4uDr169cJPP/3ErJYS934bQ0FBgcSo2cGDB+Hv799g/B1PT89mOWWqqKggNjYWLi4u4PP5uHv3rtR8FEUx06tTpkyBlZUVAgICkJuby0zHyAJFUTh8+DCWLl2KzZs3g8fjwc3NDbm5uUhMTGxUwEgbGxs4ODhIBDqsi5WVFb744gtmpZKY6OhoODo6Yvjw4cxzcfLkSdm3yGkAPp8v0ZaBmmezbls2NjZGSkoKhEIhhgwZAhsbG8ybNw/t2rVjRqBDQkKgqKiI7t27Q19fH3l5eTAxMcGKFSuwePFidOjQgWXYNwYtLS38/vvvuHXrFuzs7LBs2TIm7EpTtsgpKSlhGZIAcODAAQwZMgTm5uZNklGuNCa88sfAe7n9gqykn6Lp0HbsLRpCdWg663zL1NcMPvTtF96nsOZtRXP1HBERQQ8ZMkTOUrU9YWFhdMeOHeVSVn5+Pq2rq0vfunWrQT2bmZnR0dHRcqnzQ+TkyZO0tbV1s5/5j2n7BXkQExNDKysr02VlZc0uq7KykjYzM6OvXLnyTj0nJCSQ7RcItejmA/isZ6fRQuDwZODFnTYR6WNFvDrgzh2i16YyY8YMuLu7f/A7MEdGRiI1NRWPHj3Cb7/9hvXr12PSpElyKTsnJwcREREN9nTv3bsHbW1tJlr7p8iwYcMwffp0PH36tK1F+aDZu3cvrly5guzsbBw/fhyLFi3CuHHjmMCjzSEvLw9Lly5ljRpLo0ePHvD29m52fe+COBR/aPSeCpQ8Aa5s/i+tqhTYNw6YdhHQkh4PgiA7+/btQ3l5OQD5rcj5FFFSUmpSwLv3jaysLISFhaGwsBBmZmZYsGABlixZIpeyxXFVGtrtuEePHkhLS5NLfR8ydfdcIjSeFy9e4LvvvsOLFy9gZGSEsWPHYvXq1e++UAa6du0qk9Px6dOnmQCK75rebg7EuPkQGfBdTcybu7U2Hyt9VmPgTDkNcFuuwXwK1N4ygEDYvHkzNm/e/O6MBMJ7zrfffotvv/22TWVoLX8cMi31IaKgAPhFAmZ1Vlf8ewc4MhkQVku9jEAgEAiETwFi3HyoKHOBgP2AXp1hwIcXgdMhgJyigzYX+j2Rg0AgEAjvP/L6ZhDj5kNGTRcIPCIZA+evPcC1iDYRSYx4meX7EIabQCAQCB8G4g0560ZwbyzE5+ZDR7czMOEQ8Otw4G2t+A7nlgM6nQDr4W0ilqKiItq1a8fsa6KmptakQFHSEIlEqKqqQkVFhewRigmNhui5dSB6bj2IrluHpupZJBIhPz8fampq9UZxlhVi3HwMmPYGRu0AjtRenkoDcdNqHIyN7dtELENDQwBgDBx5QdM0ysvLJfZtIsgXoufWgei59SC6bh2ao2cFBQWYmZk1+/chxs3HQo+RQOH3wMUV/6VVlwH7A2qWiGt3bHWRKIqCkZERDAwMmKV/8qC6uhqXL1+Gu7u7XKKMEqRD9Nw6ED23HkTXrUNz9KyioiKXUTVi3HxMuM4HCh8CN2ttMid4AewfD3zxv5qNONsARUXFZs+f1i3v7du34HK55AXVghA9tw5Ez60H0XXr8D7omUw6fkxQFDBsM2BRZ7fpf+8CR6cCoubvkkwgEAgEwvsOMW4+NpRUgPG/AXqW7PTM/wHnv2sbmQgEAoFAaEWIcfMxoqoDBB4GVHXZ6dciapaJEwgEAoHwEUOMm48V3c7A+BhAoc5856kFwKP/Z+/Ow6Ks9/+PP4cd3BXFDcV9yTVNUzM1QVMzyyxzw0ytLDsl9a1scTl12jN/lWWalrlrptbJ3MUlTXPBTHNfyAXcBQFhgPn9MUfwdlABh7lheD2uy+tc874XXn7OqO/u5fNZa04mERERF1Bz485C2kD3/2espafCvAFw9oA5mURERPKYmht317Sf/S2qa125ZH+DKvG8OZlERETykJqbwuC+UVD3upmKzx/SIpsiIuKW1NwUBh4e0HMSlG9krB9ZC0tfMyeTiIhIHlFzU1j4FIE+c6BokLH+xzewZbI5mURERPKAmpvCpEQleHwWePoa67++CofWmJNJRETEydTcFDaVm8NDXxprtjT7opvnDpmTSURExInU3BRGDXvBvf9nrF25BLMft/+viIhIAabmprBq/zrUe9BYO7sffnhSa1CJiEiBpuamsPLwgIcnQvmGxvrBlbBytDmZREREnEDNTWHmUwQenw0Bgcb6xs8hapY5mURERG6TmpvCrmQwPD7TcQ2qn1+Af7aYk0lEROQ2qLkRqHI3PPCpsZaWAnP6waUT5mQSERHJJVObm3Xr1tG9e3cqVqyIxWJh0aJFN93/xx9/JCwsjLJly1K8eHFatWrFsmXLXJTWzd05AFoOM9YSTsPcfmBNMieTiIhILpja3CQkJNC4cWMmTJiQrf3XrVtHWFgYS5YsYdu2bXTo0IHu3buzY8eOPE5aSHR6B6p3MNZO7oCf/gU2mzmZREREcsjLzB/epUsXunTpku39x48fb/j87rvvsnjxYn7++WeaNm3q7HiFj6cXPPotTL4Pzh/OrO+aB+UbQJsXzMsmIiKSTQX6mZv09HTi4+MpXbq02VHch38p+xtUPsWM9RWj4cAKczKJiIjkgKlXbm7Xxx9/zOXLl3nsscduuE9ycjLJyckZn+Pi4gCwWq1YrVan5rl6Pmef1+VK1cDS4ys85w/AwtXbUTZsPzxJ6qBlUKaWqfHcZpzzOY2za2icXUdj7Rp5Nc45OZ/FZssfD1NYLBYWLlzIQw89lK39Z82axdChQ1m8eDGhoaE33G/MmDGMHTs2y+MDAgJynbcwqB3zE/VO/WCoxftWYF2dMaR6+puUSkRECqPExET69u3LpUuXKF68+E33LZDNzZw5c3jyySeZP38+3bp1u+m+WV25CQ4O5uzZs7ccnJyyWq2sWLGCsLAwvL29b31Afmez4blwCB5/LzaU02t1Ju3R6WAx566m241zPqVxdg2Ns+torF0jr8Y5Li6OwMDAbDU3Be621OzZs3nyySeZM2fOLRsbAF9fX3x9fR3q3t7eefblzstzu9zDX9kfLo7dlVHyOLAMjw0fwX1vmhjMzcY5H9M4u4bG2XU01q7h7HHOyblMfaD48uXLREVFERUVBcCRI0eIiooiOjoagJEjRxIeHp6x/6xZswgPD+eTTz6hZcuWxMTEEBMTw6VLWsk6z/gUsc9g7H/dQ9vrPoI9i7M+RkRExESmNjdbt26ladOmGa9xR0RE0LRpU0aNGgXAqVOnMhodgEmTJpGamspzzz1HhQoVMn698IJeUc5TparCY9PA4mmsLxwGsbvNySQiInIDpt6Wat++PTd75Oe7774zfI6MjMzbQHJj1e6Fzu/C0lcza9YEmNMXhq6BAL2OLyIi+UOBnudGXKzl09Ckn7F24SgsGAzpaaZEEhERuZ6aG8k+iwW6jYNKzY31Q6thlePr9iIiImZQcyM54+0HvadD0SBj/bf/B7t+yPoYERERF1JzIzlXvCI89j14XPda3uLhELMr62NERERcRM2N5E6Vu6Hrh8ZaapL9AeOEc+ZkEhERQc2N3I7mT0KzJ4y1i9HwwyBISzUlkoiIiJobuT1dPoTglsbakbV6wFhEREyj5kZuj5ev/fmbouWN9Y2f6QFjERExhZobuX3FytvfoNIDxiIikg+ouRHnCG4BXT8y1lKTYE4/SDxvTiYRESmU1NyI8zQflMUDxsc0g7GIiLiUmhtxri4fQuW7jLVDq2H12+bkERGRQkfNjTiXly88lsUMxhs+hT2LzckkIiKFipobcb7iFf43g/F1i84vehZO7zUnk4iIFBpqbiRvVLkb7n/fWEu5bJ/B+MolczKJiEihoOZG8s5dQ6BJP2Pt/CH48SlITzcnk4iIuD01N5J3LBboNg4qNDHW9y+FdR9mfYyIiMhtUnMjecvbD3rPgIAyxnrk+7B/mTmZRETEram5kbxXMhge/Q4sntcUbbBgKJw7ZFYqERFxU2puxDWq3Qth1y2mmXwJ5vaHlARzMomIiFtScyOu02o43NHTWDu9B356Hmw2czKJiIjbUXMjrmOxQI8voFx9Y/2vBbBpgjmZRETE7ai5EdfyKWJ/wNi3hLG+YhQcWWdOJhERcStqbsT1ytSAnpOMNVsazB8El06Yk0lERNyGmhsxR537of1IYy3xLMwbAKnJ5mQSERG3oOZGzHPvK1D7fmPtxDb49RVz8oiIiFtQcyPm8fCAh7+GUtWM9W3fwbZppkQSEZGCT82NmMu/JDw+E7wDjPUlL8PxbeZkEhGRAk3NjZgv6A548HNjLS0F5oVDwllzMomISIGl5kbyh4a97JP8XSvuOPwwCNJSzckkIiIFkpobyT9Cx0LVe4y1I+tg1dis9xcREcmCmhvJPzy94NFvoVhFY33jZ7B7oTmZRESkwFFzI/lL0XLw2Pfg4W2sL3oOTu81J5OIiBQoam4k/wm+C7p+aKxZE2BuP7hyyZxMIiJSYKi5kfyp2SBo0t9YO3cQFj0LtnRzMomISIFganOzbt06unfvTsWKFbFYLCxatOiWx0RGRnLnnXfi6+tLzZo1+e677/I+qLiexQLdPoYKjY31vf/FY+Nn5mQSEZECwdTmJiEhgcaNGzNhwoRs7X/kyBG6detGhw4diIqK4sUXX2TIkCEsW7Ysj5OKKbz97SuI+5c2lD0i/0PZuF0mhRIRkRtJSkkzOwIAXmb+8C5dutClS5ds7z9x4kSqVavGJ598AkC9evXYsGEDn376KZ07d86rmGKmklWg1xSY8UjG7SgLNpof/RIu9oGyNUwOKCIiVz0/ezuxcVeo72uhXXIqJb29b31QHihQz9xs2rSJ0NBQQ61z585s2rTJpETiEjXug/veNJR80hLwWvAEWJPMySQiIganLiWxeu9pdp2IY+5hT9p8uJYtR86bksXUKzc5FRMTQ1BQkKEWFBREXFwcSUlJ+Pv7OxyTnJxMcnJyxue4uDgArFYrVqvVqfmuns/Z5xWg5fN4Ht+Gx75fMkqWmD9J/3kEaQ98Zn9GR5xK32fX0Di7jsY6b83+/RjptszPNqBWWX+njXdOzlOgmpvceO+99xg71nGG2+XLlxMQEJDFEbdvxYoVeXLews7L90Hu9d1OseRTGTWPP2ez64IvRwPvMzGZe9P32TU0zq6jsXa+NBt8v90TyPwPzSalrKxbtdxpPyMxMTHb+xao5qZ8+fLExsYaarGxsRQvXjzLqzYAI0eOJCIiIuNzXFwcwcHBdOrUieLFizs1n9VqZcWKFYSFheFt0n1Gt3d3A2zfdsJiTcgoNToxkzs6Po6tUnMTg7kffZ9dQ+PsOhrrvLN63xku/r7DUIt4sAWNq5S+wRE5d/XOS3YUqOamVatWLFmyxFBbsWIFrVq1uuExvr6++Pr6OtS9vb3z7Mudl+cu9Co2ILX7Z3j9ODijZEm34rVgEDy9zj7DsTiVvs+uoXF2HY21883besLwObiIjcZVSjt1nHNyLlMfKL58+TJRUVFERUUB9le9o6KiiI6OBuxXXcLDwzP2f+aZZzh8+DCvvPIKe/fu5csvv2TevHmMGDHClPxiDlu9Hhwo19VYjD8F87WCuIiIq528mMSafacNtTZB5k62ampzs3XrVpo2bUrTpk0BiIiIoGnTpowaNQqAU6dOZTQ6ANWqVeOXX35hxYoVNG7cmE8++YRvvvlGr4EXQn9XfJT061cQP7YBVo42J5CISCE1949/DA8SF/H15M5A240PcAFTb0u1b98em+3GA5DV7MPt27dnx44djjtLoWKzeJL28GQ8poZC3DWXQzd9ARWbQsNe5oUTESkkUtPSmbf1H0PtwUYV8PU8ak6g/ylQ89yIGBQpC49NB08fY/2n5yF2jzmZREQKkch9Zzh16Yqh9vhdlU1Kk0nNjRRslZtB14+MNWuifQXxpIvmZBIRKSRmbYk2fG5cuQT1Kzj3TeTcUHMjBV+zJ+DOcGPt/GFY+AykawVxEZG8cOJiEpHXPUjct2UVk9IYqbkR99DlI/uzNtfa/yus/9icPCIibu76B4mL+nrRvXFF8wJdQ82NuAdvP/vzNwFljPU178IBzUYqIuJM1rR05v5hvCX1UNOKBPjkj+nz1NyI+ygZDL2+Bcu1X2sbLBhsv00lIiJOsXJPLLFxyYZanxb545YUqLkRd1O9HYSOMdauXIK5AyAl++uSiIjIjX2/6Zjhc7OqpbijYgmT0jhScyPup/W/oP5DxlrsX/Dzv+Am8yqJiMitHTwdz6bD5wy1AXdXNSlN1tTciPuxWKDHF1C2rrG+az5s/tqcTCIibmL6dVdtyhTxoUvD8ialyZqaG3FPvsWg9wzwvW6+heVvwNHfzMkkIlLAXU5OZcF24yKZve8KxtfL06REWVNzI+4rsBY8PNFYS0+F+U9A3ElTIomIFGSLdpzgcnLmAsUelvwzt8211NyIe6vbDe79P2Mt4TTMC4fU5KyPERERBzabzeGW1H11g6hcKsCkRDem5kbcX/uRUDPUWDv+Byx9zZw8IiIF0B9HL7AvNt5QC2+Vvx4kvkrNjbg/D0/oORlKhRjrW6fC9ummRBIRKWi+33TU8LlaYBHuqRloSpZbUXMjhUNAafsDxl7+xvovL8GJbeZkEhEpIE7HX2HpXzGGWr+WVfDwsJiU6ObU3EjhUb4hPPi5sZaWDHPD4fIZczKJiBQAszZHk3rNQlJ+3h482izYxEQ3p+ZGCpdGj8Ldzxprccfhh0GQlpr1MSIihVhyahozfjeuI9WjcSVKBHiblOjW1NxI4RP2b6h6j7F2dD2sHG1OHhGRfOyXP09x9rLx7dIn2oSYEyab1NxI4ePpDY9+C8UqGuubvoBdP5iTSUQkH7LZbHz721FD7e7qpalXoXjWB+QTam6kcCpazv6AsaePsb54OMTsMieTiEg+sz36ArtOXDLUBrWpZlKa7FNzI4VX5WbQ9WNjLTUJ5vSDxPPmZBIRyUemXnfVJri0P6H1gswJkwNqbqRwazYQmj1hrF08BgsGQ3qaKZFERPKDkxeTHF7/HtgqBM98+vr3tdTciHT5ECrfZawdWg2r3zYnj4hIPjD992OkXfP6d4CPJ482z7+vf19LzY2Ily88Nh2KlDPWN3wKuxeZk0lExERXrGnM3mJ8/fuROytTwj//vv59LTU3IgDFK8Bj34OHl7G+6FmI3WNOJhERkyzacYKLiVZDLb+//n0tNTciV1VtBfe/b6xZE2BOX0i6YE4mEREXy+r173a1y1KjbFFzAuWCmhuRa901BJr0N9YuHIEFQ/WAsYgUCusPnHVY/XtQAbpqA2puRIwsFuj2CVRsaqwfXAFr3jUnk4iIC01ef9jwuUbZItxbq6xJaXLH69a7GF28eJGFCxeyfv16jh07RmJiImXLlqVp06Z07tyZ1q1b50VOEdfx9rNP8DepPSRcs6Dm+o+hQmOo/6Bp0URE8tLfp+JYf+CsoTakbfV8u/r3jWT7ys3JkycZMmQIFSpU4J133iEpKYkmTZrQsWNHKleuzJo1awgLC6N+/frMnTs3LzOL5L0SleHRaY4PGC98Rg8Yi4jb+mb9EcPnMkV8eLhpJZPS5F62r9w0bdqUgQMHsm3bNurXr5/lPklJSSxatIjx48fzzz//8PLLLzstqIjLhbSBzu/Cr69k1q4+YPzUGvAvZV42EREni427wk87Txhq4a1C8PP2NClR7mW7udmzZw9lypS56T7+/v706dOHPn36cO7cudsOJ2K6Fk/BySjYOSuzduEILBgCfeeBR8H7Qy8ikpXvNh7FmpY5aZ+vlwf9765iYqLcy/ZtqVs1Nre7v0i+ZLHAA59CxTuN9YMrYfU75mQSEXGyhORUZv5+zFB7pFllyhT1NSnR7cnV21JVqlQhPDycKVOmcOjQIWdnEslfrj5gXOS6twU2jIPdC83JJCLiRPO3/kPclVRDbfA9+X/17xvJVXPz7rvv4ufnxwcffECtWrUIDg6mf//+TJ48mQMHDjg7o4j5SlS68QzGMX+Zk0lExAnS0m1M+c34IHFovaACNWnf9XLV3PTv359Jkyaxf/9+Tpw4wUcffQTAs88+S926dXN0rgkTJhASEoKfnx8tW7Zky5YtN91//Pjx1KlTB39/f4KDgxkxYgRXrlzJzW9DJGeqts5iBuNE+wPGiefNySQicpuW7Y7hn/NJhtrQtgX3qg3kYp6bqxITE9mwYQORkZGsWbOGHTt20KBBA9q3b5/tc8ydO5eIiAgmTpxIy5YtGT9+PJ07d2bfvn2UK1fOYf9Zs2bx2muvMXXqVFq3bs3+/ft54oknsFgsjBs3Lre/FZHsu2sInNoJO6Zn1i4eg/kDof9C8Mz1HykREZez2WxMXGt8vKRR5RK0qFbapETOkasrN61bt6ZMmTK89tprXLlyhddee41Tp06xY8cOPv3002yfZ9y4cQwdOpRBgwZRv359Jk6cSEBAAFOnTs1y/40bN9KmTRv69u1LSEgInTp1ok+fPre82iPiNFdnMK7cwlg/sg5WvGVOJhGRXNp46Bx/Hr9kqA1tWx2LpWBN2ne9XP1n5t69eylSpAh169albt261KtXj1KlcjbnR0pKCtu2bWPkyJEZNQ8PD0JDQ9m0aVOWx7Ru3ZoZM2awZcsWWrRoweHDh1myZAkDBgy44c9JTk4mOTk543NcXBwAVqsVq9V6o8Ny5er5nH1eMTJ/nD2g51S8pnbEcjk2s/z7l6SWvQNbo94m5XIu88e5cNA4u47G2tGENcbnZKuU9ie0TpnbGqO8GuecnM9is9lst97NyGazsWvXLiIjI1m7di3r1q3Dx8eHdu3a0aFDB4YOHXrLc5w8eZJKlSqxceNGWrVqlVF/5ZVXWLt2LZs3b87yuM8++4yXX34Zm81GamoqzzzzDF999dUNf86YMWMYO3asQ33WrFkEBARk43crkrVSCYdoc+A/eNoy3zBIs3izodbrXCxSw8RkIiK3Fn0ZPtllvMbxWPU02gTluC1wicTERPr27culS5coXrz4TffNVXNzLZvNxrZt2/jiiy+YOXMm6enppKXdevXk3DQ3kZGRPP7447zzzju0bNmSgwcP8sILLzB06FDeeivrWwJZXbkJDg7m7NmztxycnLJaraxYsYKwsDC8vb2dem7JlJ/G2bJzFl7//ZehZitantQnV0Kx8ialco78NM7uTOPsOhpro+fn7GTp7syrz4FFfYiMaIvvbc5InFfjHBcXR2BgYLaam1zdltq+fTuRkZFERkayYcMG4uPjadiwIc8//zzt2rXL1jkCAwPx9PQkNjbWUI+NjaV8+az/UXjrrbcYMGAAQ4YMAaBhw4YkJCTw1FNP8cYbb+Dh4fgIka+vL76+jpMQeXt759mXOy/PLZnyxTg3Hwind8OWrzNKlssxeP84CJ74BbwK5gRY18oX41wIaJxdR2MNh89cZtke47+/g++pTtEAP6f9DGePc07OlasHilu0aMHs2bOpXbs206ZN4+zZs2zfvp1x48bRo0ePbJ3Dx8eHZs2asWrVqoxaeno6q1atMlzJuVZiYqJDA+Ppae8wb/MClEjudf4PhLQ11o7/Af+NAH0vRSQfmrTusOGvp2K+XvQroEstZCVXV27Onz/vlFs6ERERDBw4kObNm9OiRQvGjx9PQkICgwYNAiA8PJxKlSrx3nvvAdC9e3fGjRtH06ZNM25LvfXWW3Tv3j2jyRFxOU9v+wR/k9rbXwu/KmoGlG8Idz9jWjQRkevFXLrCgu3HDbX+rapS3M99rmblqrlx1rMqvXv35syZM4waNYqYmBiaNGnC0qVLCQoKAiA6OtpwpebNN9/EYrHw5ptvcuLECcqWLUv37t35z3/+45Q8IrkWUBr6zIZvwuwrh1+17HUoVxeqtzcrmYiIwdTfjhgWyPTx8mBQmxDzAuWBXN2Wuplq1aoxePBgTp48ma39hw8fzrFjx0hOTmbz5s20bNkyY1tkZCTfffddxmcvLy9Gjx7NwYMHSUpKIjo6mgkTJlCyZEln/zZEci7oDnj4ujf3bGkw/wk4f9iUSCIi17qYmOKwQGavZpUpV8x5z9rkB05vbgYOHEhaWhpt2rRx9qlF8r/6PaDdq8Za0gWY3QeuxJmTSUTkf6b+dpSElMw3mj0s8FTb6iYmyhtOnyt+zJgxzj6lSMHS7jWI3Q17/5tZO7MXfnwKHp8FWbzVJyKS1+KuWPn2ugUyH2hUkZDAIiYlyju3/beszWbTm0oi1/LwgIcnQrn6xvr+X2HNO+ZkEpFC7/uNR4m/kmqoDb+vpklp8laum5vvv/+ehg0b4u/vj7+/P40aNWL69Om3PlCkMPAtZn/A2P+6xefWfwK7fjAnk4gUWgnJqUzZYLxq06VBeWoHFTMpUd7KVXMzbtw4hg0bRteuXZk3bx7z5s3j/vvv55lnnsnRwpkibq1UiP0VcY/r7v4ufg5ObDclkogUTjN+P8aFROPaTO561QZy+czN559/zldffUV4eHhG7cEHH+SOO+5gzJgxjBgxwmkBRQq0am2hy4fwS0RmLfUKzOkLQ9dA8QrmZRORQiEpJY3J641vbHasW447KpYwKVHey9WVm1OnTtG6dWuHeuvWrTl16tRthxJxK3cNhuaDjbX4U/YGx5pkTiYRKTRmb4nm7OUUQ+35jrVMSuMauWpuatasybx58xzqc+fOpVY8TjasAAAgAElEQVQt9x4wkVzp8oHjEg0nt8NPz2uJBhHJM8mpaXy97pCh1rZWIE2C3Xt+uFzdlho7diy9e/dm3bp1GfPZ/Pbbb6xatSrLpkek0Lu6RMPkDnDhaGZ913woVw/avmRaNBFxX/O3Hic2LtlQ+5ebX7WBXF65eeSRR9i8eTOBgYEsWrSIRYsWERgYyJYtW3j44YednVHEPQSUhj5zwee6txNW/Rv2/mJOJhFxW8mpaUxYc9BQu7t6ae4KKX2DI9xHrifxa9asGTNmzHBmFhH3V64u9JoCs3oD19yOWjAUBi+zL7QpIuIEc7b8w6lLVwy1wnDVBnJw5SYhIeHWO93G/iKFRu3OEPZvY82aALMeh/hYczKJiFu5Ys36qk3rGoEmJXKtbDc3NWvW5P3337/p21A2m40VK1bQpUsXPvvsM6cEFHFLrZ+Hxn2NtbjjMLcfWK9kfYyISDbN3BzN6XjjszYjQmublMb1sn1bKjIyktdff50xY8bQuHFjmjdvTsWKFfHz8+PChQvs2bOHTZs24eXlxciRI3n66afzMrdIwWaxQPfx9tXC//k9s378D/sbVD0n2fcREcmhxJRUvoo0XrW5p2YgLauXMSmR62W7ualTpw4LFiwgOjqa+fPns379ejZu3EhSUhKBgYE0bdqUyZMn06VLFzw9PfMys4h78PKFx2fa36C6GJ1Z3zUPytaBe182L5uIFFgzfj/mMK/NiLDC8azNVTl+oLhKlSq89NJLvPSSXl0VuW1FAu1vUE0Jg5TLmfXVb0NgLajfw7xsIlLgJCSnMnGtcTbidrXL0qyq+78hda3bXhVcRG5TUH3oNRW47jbUj09rDSoRyZFpm45yPuH6qzaF51mbq7J95SYiIuLWO/3PuHHjchVGpNCq3Rk6vQPL38ispSbB7D4wdDWUqGReNhEpEOKuWJm0znENKXefjTgr2W5uduzYka39LHoIUiR3Wj0HZ/fB9u8za5djYHZvGLQUfIual01E8r1v1h3m4nUrfxfGqzaQg+ZmzZo1eZlDRCwW6PoJnD8CR9dn1mN2wY9PQe8Z4KE7ySLi6OzlZL7ZcMRQ63xHEA0que/K3zdzW39THjx4kGXLlpGUZF/Z2KYFAEVuj5ePfQ2q0jWM9X2/wMrR5mQSkXzvi9UHSUxJy/jsYYGXO9UxMZG5ctXcnDt3jo4dO1K7dm26du2aMbHf4MGD9RaVyO0KKA1954HfdffJN34G274zJZKI5F//nE9k1uZoQ63nnZWpFVTsBke4v1w1NyNGjMDb25vo6GgCAgIy6r1792bp0qVOCydSaAXWhN7TweO6O8e/vASHdItYRDKNX3mAlLT0jM8+nh68GFq45rW5Xq6am+XLl/PBBx9QuXJlQ71WrVocO3bMKcFECr1q98ID44219FSYNxBO7zUnk4jkK/tj4/lxx3FDrd/dVahcKuAGRxQOuWpuEhISDFdsrjp//jy+vr63HUpE/ufOAdDmRWMt+RLMehQunzEnk4jkGx8v28e1j7sW8fHkuQ41zQuUT+SquWnbti3ff5/5uqrFYiE9PZ0PP/yQDh06OC2ciAAdR0O9B421i9Ewpw9Yk8zJJCKm2x59geV7Yg21wW2rE1hUFxlyvPwCwIcffkjHjh3ZunUrKSkpvPLKK+zevZvz58/z22+/OTujSOHm4QEPfw1xJ+DEtsz68T9g4TPQ61u9Ii5SyNhsNj741Xh7ulSAN0PbVjMpUf6Sq78RGzRowP79+7nnnnvo0aMHCQkJ9OzZkx07dlCjRo1bn0BEcsYnAB6fDSWCjfU9i2DVWHMyiYhpVv59ms1Hzhtqz3WoSTE/b5MS5S85vnJjtVq5//77mThxIm+88catDxAR5ygWZH9FfEonSInPrP82HkqFQPNBpkUTEdexpqXz3q9/G2qVSvrT/+6qJiXKf3J85cbb25s///wzL7KIyK0E1YfHpoHF01j/5SU4sNKcTCLiUnP++IfDZxIMtVfur4Oft+cNjih8cnVbqn///kyZMsXZWUQkO2p2hAc+NdZsaTD/CftSDSLituKvWBm/Yr+h1qhyCbo3qmhSovwpVw8Up6amMnXqVFauXEmzZs0oUqSIYbtWBRfJY80GwoWjsOGaP2sp8TDzMRiyUquIi7ipr9ce5lxCiqH2etd6eHho0epr5aq5+euvv7jzzjsB2L/f2EHGx8dndYiIONt9b9kbnN0/ZtbiT8Ksx2DQr+BX3LRoIuJ8py4lMXn9YUMttF4Qd1cvY1Ki/CtHzc2nn37KiBEjbrhCeHx8PPfff79TgonILXh4wENfQdxJ+Of3zHrsXzAvHPrNB0+9OSHiLj5etp/k1MxlFjw9LLzWpa6JifKvHD1z8/rrrxsm77tWQkICXbp04dy5c04JJiLZ4O0HfWY7riJ+eA38/CKGqUtFpMD668Qlh2UW+rQIpma5oiYlyt9y1NxMnz6dp59+mp9++slQv3z5Mp07d+b06dOsXr06RwEmTJhASEgIfn5+tGzZki1bttx0/4sXL/Lcc89RoUIFfH19qV27NkuWLMnRzxRxKwGlof8PEBBorEfNgLUfmpNJRJzGZrPx75/3GP5bpaivFy+G1jYvVD6Xo+amV69efP755/Tp04fIyEgg84pNbGwskZGRVKyY/Se2586dS0REBKNHj2b79u00btw4o0nKSkpKCmFhYRw9epQffviBffv2MXnyZCpV0sOTUsiVrg5954KXv7Ee+S7smGlOJhFxil92nWLLUeOEfcPa19AyCzeR4weKhwwZwvnz5+nRoweLFy9m1KhRnDx5krVr1+aosQH7W1VDhw5l0CD75GMTJ07kl19+YerUqbz22msO+0+dOpXz58+zceNGvL3tzxKEhITk9Lcg4p4qN4deU2Buf7Bl3pfn53/ZJwCsGWpeNhHJlSvWNN5bYlxmoXIpfwbfo2UWbiZXb0u98sornD9/no4dOxISEkJkZCSVK1fO0TlSUlLYtm0bI0eOzKh5eHgQGhrKpk2bsjzmp59+olWrVjz33HMsXryYsmXL0rdvX1599VU8PbOevCg5OZnk5OSMz3FxcYB9pmWr1ZqjzLdy9XzOPq8YaZxvokYnPDq9h+eyVzNr6anY5oaTOmAxVGiS7VNpnF1D4+w6BXGsv1pziBMXjQvkvtq5Np6kY7Wm3+Aoc+XVOOfkfDlqbnr27Gn47O3tTWBgIC+88IKh/uOPP3IrZ8+eJS0tjaCgIEM9KCiIvXv3ZnnM4cOHWb16Nf369WPJkiUcPHiQZ599FqvVyujRo7M85r333mPsWMe1d5YvX05AQMAtc+bGihUr8uS8YqRxvpEK1C/XlVqnM59Fs1gTSPv+EdbXHkWib9kcnU3j7BoaZ9cpKGN9MRm+ivIEMuewqVk8nbSj21hyzLxc2eXscU5MTMz2vjlqbkqUKGH43KdPn5wcftvS09MpV64ckyZNwtPTk2bNmnHixAk++uijGzY3I0eOJCIiIuNzXFwcwcHBdOrUieLFnTsPiNVqZcWKFYSFhWXcNhPn0zhng+1+0hc/g8c1c+D4pV4iNOZLUgcugYBbz4uhcXYNjbPrFLSxfmn+LlLST2V89rDAuP5tqFehmImpbi2vxvnqnZfsyFFz8+233+Y4zI0EBgbi6elJbGysoR4bG0v58uWzPKZChQp4e3sbbkHVq1ePmJgYUlJS8PHxcTjG19cXX1/Hh668vb3z7Mudl+eWTBrnW3h4IiScgaPrM0qW84fwnt8fwn+yrzSeDRpn19A4u05BGOttxy7w05+nDLXHW1ShUZXSJiXKOWePc07Olau1pZzBx8eHZs2asWrVqoxaeno6q1atolWrVlke06ZNGw4ePEh6euZ9xv3791OhQoUsGxuRQs3LFx6fCeXuMNaP/wE/DIK0VHNyichNpaXbGPvzbkOtmJ8XL4Xp1e/sMq25AYiIiGDy5MlMmzaNv//+m2HDhpGQkJDx9lR4eLjhgeNhw4Zx/vx5XnjhBfbv388vv/zCu+++y3PPPWfWb0Ekf/MrYZ8Dp/h1D/zvXwr/fUGT/InkQ7O3RPPn8UuG2ouhtSmjV7+zLVdvSzlL7969OXPmDKNGjSImJoYmTZqwdOnSjIeMo6Oj8fDI7L+Cg4NZtmwZI0aMoFGjRlSqVIkXXniBV1999UY/QkSKV7Q3OFPvhysXM+s7ZkDR8tDxLfOyiYjBucvJfLRsn6FWo2wRwltVNSlRwWRqcwMwfPhwhg8fnuW2qxMFXqtVq1b8/vvvjjuLyI2Vq2ef5O/7HpB6JbO+/mMoGgQtnzIvm4hk+HDpPi4lGV95frtHA7w9Tb3RUuBotEQKiyp3Q6+pYLnuj/2vr8DuheZkEpEM26MvMHfrP4Za98YVaV0z8AZHyI2ouREpTOp2g27jriva4Men4HCkGYlEBPtDxG8t+stQK+LjyRtd65mUqGBTcyNS2DQfBO1HGmtpKTCnH5zcYU4mkUJu5uZj7D5pnMflxdDalC/hZ1Kigk3NjUhh1O5VaP6ksZZyGWb0grMHzckkUkidzeIh4tpBRXmiTYg5gdyAmhuRwshiga4fQ/0exnriWZj+MMSdNCeXSCH09n/3EH/FOO/Uv/UQ8W3RyIkUVh6e0HMyVLvXWL8UDdN7QtIFc3KJFCJr959hcZTxPyZ6NKnI3dVvvUSK3JiaG5HCzMsXHp/luFr4mb/xnNsHz7QrWR8nIrctKSWNNxftMtSK+3nxZrf6JiVyH2puRAo732LQ7wcoU9NQ9jixlRZHPoPUZJOCibi3/7fqAP+cTzLURnatR9limon4dqm5EREoWhb6/wjFKhrK5eL/wnPxM5CeZlIwEfe052Qck9cfNtTuCilF7+bBJiVyL2puRMSuVFUYsBD8jasOe+z9GX7WOlQizpKWbmPkwl2kpWf+mfL2tPBez4Z4eFhMTOY+1NyISKZyde3rUPkUNdZ3TIflb6rBEXGCGb8fY+c/Fw21Ye1rUrNcMZMSuR81NyJiVKkZ9JmNzfO6+/6bvoB1H5mTScRNHL+QyIdL9xpq1QOL8Gz7GiYlck9qbkTEUbV7SXt4MunX/xWx5j+w6UtzMokUcDabjZE/7iIhxfgM238eboift6dJqdyTmhsRyZKtTld2VB3quGHZSNj+vesDiRRw87ceZ/2Bs4Za7+bBtKqhOW2cTc2NiNzQ8dJtSOv8oeOGn/4Ffy1wfSCRAirm0hXe/mWPoVa+uB9vPKCFMfOCmhsRuan05k9C6Jjrqv9bSXzfryYkEilYbDYbbyzc5bDEwrs9G1Dcz9ukVO5NzY2I3No9I6Dty8ZaeirMC4dDq83JJFJALIo6waq9pw21nk0rcV/dIJMSuT81NyKSPfe9CS2fMdbSUmB2Xzi6wZxMIvnc6fgrjP3ZeDsqsKgvo7priYW8pOZGRLLHYoHO70HT/sZ6ahLM6g3/bDEnl0g+ZbPZeP3HXVxMtBrq7zzUgJIBPialKhzU3IhI9nl4QPfPoOGjxnrKZZjRC05GmZNLJB+av/U4K/823o56oFEF7m9Q3qREhYeaGxHJGQ9PeGgi1OturCdfgukPQcyurI8TKUT+OZ/I2J93G2qBRX0Y++AdJiUqXNTciEjOeXrBI1OhVidjPekCfN8DYvdkfZxIIZCWbuOleTsdJut7v2cjyhTVit+uoOZGRHLHywcemw7V2hnriefg+wfhzD5zcomYbOqGI2w5et5Q6908mND6ejvKVdTciEjueftBn9lQ9R5jPeEMTOsOZw+Yk0vEJPti4vlombGxr1zKnzc1WZ9LqbkRkdvjUwT6zoUqrYz1y7Hw3QNw7pA5uURcLDk1jRFzo0hJS8+oWSzw8aONKabJ+lxKzY2I3D7fotBvPlRuYaxfjoHvuqnBkULho6X72HMqzlAbck817q6utaNcTc2NiDiHbzHo/wNUamasx59SgyNuL3Lfab7ZcMRQq1WuKC91qmNSosJNzY2IOI9fCej/I1RoYqyrwRE3diY+mZfn7zTUfLw8+KxPU/y8PU1KVbipuRER5/IvCeGL1OBIoZCebuPl+Ts5eznFUH+9S13qVShuUipRcyMizudfyt7gVGxqrMefgm+76i0qcRvfbjzK2v1nDLX76pZjYOsQcwIJoOZGRPKKfykYsNCxwbkcY29wTu81J5eIk+w+eYkPfjV+j8sW8+WjXo2wWCwmpRJQcyMieelGDU7Cafstqpi/zMklcpvir1h5buZ2w2vfAOMea6xZiPMBNTcikrf8S8GARVCpubGeeBamPaDFNqXAsdlsvLZgF0fPJRrqT99bnba1ypqUSq6l5kZE8p5/SfsVnOCWxnrSBftSDce3mZNLJBem/36MX3adMtQaB5fUa9/5iJobEXENv+LQfwFUbWOsX7lkX2zz2EZzconkwJ/HL/L2f40Lw5bw92ZC36b4eOmf1PwiX/w/MWHCBEJCQvDz86Nly5Zs2bIlW8fNmTMHi8XCQw89lMcJRcQpfIvZZzKudq+xnhIP03vCodXm5BLJhkuJVp6duR1rms1Q/+TRxlQuFWBSKsmK6c3N3LlziYiIYPTo0Wzfvp3GjRvTuXNnTp8+fdPjjh49yssvv0zbtm1dlFREnMKnCPSdBzU6GuupSTCrN+xdYk4ukZuw2Wz83w87OX4hyVB/+t7qWu07HzK9uRk3bhxDhw5l0KBB1K9fn4kTJxIQEMDUqVNveExaWhr9+vVj7NixVK9e3YVpRcQpvP3tq4nX6Wasp6XA3P6w6wdzconcwJeRh1i+J9ZQa1a1FC931nM2+ZGXmT88JSWFbdu2MXLkyIyah4cHoaGhbNq06YbH/fvf/6ZcuXIMHjyY9evX3/RnJCcnk5ycnPE5Ls6+qJnVasVqtd7m78Do6vmcfV4x0ji7Rt6Pswc8/A2ePz+Hx+4fM8u2NGwLhpCWFIet6YA8+tn5h77PrpPbsV5/4CwfL99nqJUK8ObTRxtCehrW9DSnZXQHefWdzsn5TG1uzp49S1paGkFBxkt6QUFB7N2b9QRfGzZsYMqUKURFZe/10ffee4+xY8c61JcvX05AQN7cI12xYkWenFeMNM6ukefj7P0gTcqco+q5tRklCza8lozgr6jNHArqmrc/P5/Q99l1cjLWZ6/AJ396YrNlTspnwcbjVa+w47fV7MiLgG7C2d/pxMTEW+/0P6Y2NzkVHx/PgAEDmDx5MoGBgdk6ZuTIkURERGR8jouLIzg4mE6dOlG8uHPX/bBaraxYsYKwsDC8vb2dem7JpHF2DZeOs60racvfwHPrZEO5wck51KtWkfR2I8FNZ3zV99l1cjrWSSlpPDZ5C4lp8Yb6S2G1efreankVs8DLq+/01Tsv2WFqcxMYGIinpyexscb7mLGxsZQvX95h/0OHDnH06FG6d++eUUtPt88O6eXlxb59+6hRo4bhGF9fX3x9HWeL9Pb2zrO/SPLy3JJJ4+waLhvnbh+BfwlY/7Gh7PnbODxT4qHLh+Bh+mOCeUbfZ9fJzljbbDZGLfiLvTHGxqZLg/I8d18tLa+QDc7+TufkXKb+TeHj40OzZs1YtWpVRi09PZ1Vq1bRqlUrh/3r1q3Lrl27iIqKyvj14IMP0qFDB6KioggODnZlfBFxJosFOr4FYW87bvtjMix8ClJTHLeJ5IEpG46wKOqkoVazXFE+erSxGpsCwPTbUhEREQwcOJDmzZvTokULxo8fT0JCAoMGDQIgPDycSpUq8d577+Hn50eDBg0Mx5csWRLAoS4iBVSbf4FfCfj5BeCa+UR2zbfPaPzY9/bXyUXyyJp9p3l3yd+GWjFfL74e0Iyivqb/synZYPr/S7179+bMmTOMGjWKmJgYmjRpwtKlSzMeMo6OjsbDjS9Fi0gWmg20T/j341OQfs0bEgdXwrQH7RMBBpQ2L5+4rQOx8fxr1g7SjfP0Ma53E2qULWpOKMkx05sbgOHDhzN8+PAst0VGRt702O+++875gUTEfA162pdsmDsArNe8JXFiK0y9Hwb8CCUqm5dP3M6FhBQGT9tKfHKqoR4RVpswTdRXoOiSiIjkXzVDYeDP9pXFr3V2H0zpBKeznjJCJKdSUtMZNnMb0eeNrxt3b1yR5++raVIqyS01NyKSv1VuDk8ug+KVjPW4EzC1Exy78YSfItlhs9kY/dNufj983lBvXLkEH/VqpAeICyA1NyKS/5WtY29wAmsb61dXFN/zkzm5xC18ve4ws7dEG2rli/sxKbw5ft6eJqWS26HmRkQKhpLBMGgpVL7LWE9LhnnhsGVy1seJ3MTPO0/y/q/G25t+3h5MDm9OUHE/k1LJ7VJzIyIFR5EyEP4T1O5y3QYbLHkZVoyG/03sKXIrW46c56V5Ox3qnzzahIaVS5iQSJxFzY2IFCw+AdB7Btw50HHbb+PhxyFgveL6XFKgHDpzmaHfbyUlzdgMv961Lt0aVTAplTiLmhsRKXg8vaD7/4MObzhu+2sBTH8IEs87bhMBzl5O5olvt3ApybjK9IC7qzK0bXWTUokzqbkRkYLJYoF2r8CDX4Dluoc+ozfBlDA4f9icbJJvXUmFIdO388/5JEM9tF45Rnevrzej3ISaGxEp2O4cYJ+x2KeYsX7uIHwTCtGbzckl+U6yNY1v9nmw+6RxMcxGlUvwWZ+meHnqn0R3of8nRaTgq9kRnlwKxSoa64nnYFp3+HO+Obkk30hLtxHxwy4OxBn/2atcyp8pA+8iwCdfTNgvTqLmRkTcQ/kGMHQVBDU01tOS7Q8Zr3kPbLasjxW3ZrPZeGPhLpbvOW2oBxb1YfrglpQt5mtSMskram5ExH0UrwhP/go1wxy3rX0fFgwGa5LjNnFrHy3bx5w//jHUivp68d2gFlQL1Arz7kjNjYi4F99i0GcOtHjKcdtfC+C7ByA+xvW5xBQT1hzky8hDhpqPl32SvgaVNJeNu1JzIyLux9MLun4EXT4Cy3V/zZ3YCpM6wInt5mQTl5my4QgfLdtnqFmwMf7RRrSqUcakVOIKam5ExH21fAr6ZvEmVfxJ+LaL/UqOuKUZvx/j7f/ucaj3rp5OWP1yJiQSV1JzIyLurVYoDF4OJasa66lX4IcnYdXbWrLBzczf+g9vLvrLof5m1zq0CtJD5YWBmhsRcX9B9WHoGqh6j+O29R/DnL72FcalwFscdYJXF/zpUH/1/roMbFU1iyPEHam5EZHCoUgZGLAQmg1y3Lb/V5jcEc7sd30ucZqFO44zYm4U6dddnHmhYy2Gta9hTigxhZobESk8vHyg+3jo+rHjkg3nDsDk+2DvEnOyyW35YdtxIubtdGhsnm5XnRdDa5kTSkyj5kZECp8WQyF8MQRc98ZMSjzM6QNr3tVzOAXI3D+i+b8fdjrM0TioTQiv3V9X60UVQmpuRKRwqtYWnoqECo0dt639AGY9qpXFC4BZm6N5dcEuh8ZmyD3VGPWAFsIsrNTciEjhVbIKPLkMGvV23HZwJXzdDk7ucH0uyZZv1h/m9YW7HOrPtKvBG93qqbEpxNTciEjh5u0PD38N97/v+BzOpWiY0gm2TTMnm2TJZrPxyfJ9vPPL3w7bhneoyav311FjU8ipuRERsVjg7mEw8GcoGmTclpYCP/8LFj4DKQnm5JMM6ek2xvy0m89XH3TY9kLHWrzUqbYaG1FzIyKSIaQNPL0OqrRy3LZztv1tqtN7XZ9LALCmpfPS/J1M23TMYdtrXeoyIkyNjdipuRERuVax8vYrOHc/57jtzF6Y3AGiZrk+VyGXmJLK09O3sXDHCUPdYoH3ejbkmXaax0YyqbkREbmepzfc/y48+p3julTWRFg0DBY9q9tULnL2cjJ9Jv3O6r2nDXVvTwuf92lKnxZVTEom+ZWaGxGRG7njYXh6LZRv6Lgtaqb9bapTjlP9i/McPZvAI19tZOdx4/IYft4eTA5vzgONKpqUTPIzNTciIjdTpgYMXgnNn3Tcdu4AfNMRNn+Nw0Qrctt2RF+g51cbOXYu0VAv4e/NjMEtaV9Hq3tL1tTciIjcircfPPApPDIFfIoat6WlwK+vwOw+kHDOnHxuaOlfp+gz+XfOJ6QY6pVK+rNgWGuah5Q2KZkUBGpuRESyq2Ev+9tUFZo4btv/K3zVGg6ucn0uN2Kz2Ziw5iDPzNjOFatxCYw7KhZn4XOtqVmu6A2OFrFTcyMikhNlasDgFdBquOO2yzEwoyf8+ipYr7g+WwF3xZpGxLydfLRsn8O2e2uXZe7TrShXzM+EZFLQqLkREckpLx/o/B/otwCKlHXcvnkiTGoPMY5LA0jWzl5Opt83mx1e9Qbo3TyYKQObU9TXy4RkUhCpuRERya1aofDMb1AzzHHbmb9hUgdYPw7S01yfrQD58/hFHvx8A9uOXTDULRZ4s1s93n+kId6e+udKsk/fFhGR21EsCPrNh64fg9d1t0zSrbBqLEztDGcdlwsQmPfHP/SauImTl4y38Yr4ePJNeHOGtK2uWYclx/JFczNhwgRCQkLw8/OjZcuWbNmy5Yb7Tp48mbZt21KqVClKlSpFaGjoTfcXEclzFgu0GApP3WBOnON/wMR77K+Mp6c7bi+EUlLTeWPhLl5Z8CcpqcYxqVTSnwXPtqZjvaAbHC1yc6Y3N3PnziUiIoLRo0ezfft2GjduTOfOnTl9+nSW+0dGRtKnTx/WrFnDpk2bCA4OplOnTpw44XifVkTEpcrVhSGroM2LYLnur9fUJPsr49O6w/nD5uTLJ05dSuLxSZuYuTnaYVuLaqVZPLwNdcsXNyGZuAvTm5tx48YxdOhQBg0aRP369Zk4cSIBAQFMnTo1y/1nzpzJs88+S5MmTahbty7ffPMN6enprFql1y9FJB/w8oWwsTBoKZSu7rj92Ab4sjVs+rJQPosTue803T7bwPboiw7bnmxTjZlDWhJY1NeEZOJOTH30PCUlhW3btjFy5MiMmoeHB6GhoWzatCKL+mYAACAASURBVClb50hMTMRqtVK6dNYTOiUnJ5OcnJzxOS4uDgCr1YrVar2N9I6uns/Z5xUjjbNraJxvU4U7YfAaPNa8jefWb4zbUpNg2UjSdy8ktfPHgPuPc2paOuNXHeLr9Ucctvl5e/BOjzvo0bgCpKdhzaOmT99p18ircc7J+Sw2m3lzhp88eZJKlSqxceNGWrVqlVF/5ZVXWLt2LZs3b77lOZ599lmWLVvG7t278fNznP9gzJgxjB071qE+a9YsAgICbu83ICKSDWXj/qJJ9BQCrI4zGKdZvNlf/kEOlOuGzcM9X3W+mAzTDnhyON7xweDSvjYG10mjchETgkmBkpiYSN++fbl06RLFi9/8tmWB/pP0/vvvM2fOHCIjI7NsbABGjhxJRERExue4uLiM53RuNTg5ZbVaWbFiBWFhYXh7ezv13JJJ4+waGmdn6grJw0hb8zae24y33D1tVuqdWkAd61+kdxuPrfJdJmXMG8t2x/Lp4j1cTHL8r+6weuV47+E7KOHvmu+XvtOukVfjfPXOS3aY2twEBgbi6elJbGysoR4bG0v58uVveuzHH3/M+++/z8qVK2nUqNEN9/P19cXX1/H+rbe3d559ufPy3JJJ4+waGmcn8S4N3T+Fho/A4uFwwXh7xuPsPjymdYW7BkPHUeBXwqSgzpGQnMrYn3czb+txh23enhZGdqnHoDYhprzmre+0azh7nHNyLlMfKPbx8aFZs2aGh4GvPhx87W2q63344Ye8/fbbLF26lObNm7siqoiIc4TcA8M22pdvuP6NKmzwxzfwRQvY9UOBXWl8R/QFun62PsvGpnIpf354pjVP3lNN89dInjH9bamIiAgmT57MtGnT+Pvvvxk2bBgJCQkMGjQIgPDwcMMDxx988AFvvfUWU6dOJSQkhJiYGGJiYrh8+bJZvwURkZzxCbAv3zB0NbagLObFuRwDCwbD9w/Cmf2uz5dLKanpfLJ8H70mbuLYuUSH7d0aVuCXf7WlcXBJE9JJYWL6Mze9e/fmzJkzjBo1ipiYGJo0acLSpUsJCrJP3hQdHY2HR2YP9tVXX5GSkkKvXr0M5xk9ejRjxoxxZXQRkdtTsSmpT65g37QXueP0YiypScbtR9bZVxpv/Tzc+zL45N+nbv86cYmX5+9kb0y8w7YiPp6M7dGAR+6spKs14hKmNzcAw4cPZ/jwLFbYxT5p37WOHj2a94FERFzFw4tDQV2p8/D/4b18JBxYbtyeboUN4+DPuRD2b2jwiH1G5HwiJTWdL1YfYELkIdLSHW+j3VmlJON7N6VKGb2dKq5j+m0pEREBSlaFvvOg9wwoXtlxe9wJ+62qb7vmm9XGtx27QPfPN/DZ6oMOjY2Xh4URobWZ93QrNTbicvniyo2IiGC/IlOvO1TvAOs+hE0TID3VuE/0Rvj6XrhzIHR4HYqWc3nMuCtWPly6l5mbo7N85rleheJ8/Ggj7qhYsN/4koJLV25ERPIb36L2W1DP/AbV2jlut6XDtm/hszth/SdgTXLcJw/YbDaW7DpF6CdrmfG7Y2Pj5WHhhY61WPxcGzU2YipduRERya/K1YXwxbD3v7Dsdbh43UKTKfGw6t+w9VvoONr+PI5H3vw366Ezlxn78x7W7T+T5fb6FYrzka7WSD6h5kZEJD+7equqZihs/MJ+peb6t6ou/QM/DoFNn0PoWKjRwWk//nJyKp+vPsDUDUewpjneg/L39mREWC2ebFMNL0/dDJD8Qc2NiEhB4O0P7f4PmvSF1e/AzlmO+5zaCdMfgurtIXQMVGya6x+Xnm7jp50neXfJ35yOT85yn/Z1yvJ2jwYEl9YDw5K/qLkRESlISlSCh7+Clk/Bsjfh2AbHfQ5HwqT2cMfD0H4klK2Tox+x+fA5/rPkb/48finL7eWK+fLWA/V5oFEFzVsj+ZKaGxGRgqhiU3jiv7BvCawcA2ezmMl490LYsxgaPgbtX4XS1W96ysNnLvPer3tZsSc2y+3enhaevKcaz99Xi6K++udD8i99O0VECiqLBep2g1qdIWomRL4H8aeM+9jS4c85sGs+NO0HbV+CUiGGXWIuXeHz1QeY+8c/pGYxER/AvbXLMrp7fWqULZpHvxkR51FzIyJS0Hl6QbOB0PBR2PI1bPgUrlx3S8mWBtu/hx0zoXEfaBvBeb9gvoo8yPebjpGcmp7lqauXLcLILvUIrVdOt6CkwFBzIyLiLnwC4J4R0OwJ+wSAv38FKdctKmxLg6gZpEfN4jdba1an9CDZVsnhVKWL+DAitBaPt6iCt96CkgJGzY2IiLvxLwX3vQkth8Fv42HLZIfXxz1Ip7tlA919N7AsrTkTU7uzw1YLXy8PnrynGsPa16C4n7dJvwGR26PmRkTEXRUpA53e5kyDIRxe/C6NYn7E35LisFtnz6109tzKkSJNKNnpFUo1qpOvFucUySk1NyIibmp/bDyT1h1mcdQJrGkPUoZ2DPVawgDP5RSxOM5dUy0hChb2hQ314O5h0Kg3ePuZkFzk9qi5ERFxIzabjU2HzzF53WHW7DMulXCOEryf2oevU7sx2GspT/qsJCD9suNJzvwNP//LvrTDXYPhriGmLNApkltqbkRE3EBSShqLok4wbeNR9sbE33A/Tw8L9zWpT9cO3QkoboNt39kfPr7+FXKAxLOw9gNYP84+IWCLp6Byc92yknxPzY2ISAEWfS6RmZuPMeePf7iUZL3hfj5eHvRqVpln7q1BlTLXLJfQ+nl70/LnPNj4OZzd53hwuhV2zbP/qtDYvv8dPe1vZ4nkQ2puREQKmJTUdFb+HcvsLdGsP3D2pvuWDPAm/O6qhLcOIbCob9Y7efnCnQOgST84tBo2fQGH12S976mdsPg5WPo6NO5tf+086I7b+w2JOJmaGxGRAuLg6XjmbzvOgm3HOXvZ8a2na4WUCeCJ1iE8dlcwAT7Z/KvewwNqhdp/xe6G37+EP+dDWhYLZyZfgi2T7L8q3wV3httvXfkWy8XvTMS51NyIiORjFxNT+HnnSX7YdpydN1jI8lrtapflidYhtKtdFg+P23g2JugO6DEBwt62z2y8dQpcjM563+N/2H/9+irUe9C+zEPVe+zNkogJ1NyIiOQzSSlprNoby09RJ4ncd4aUtKyXRriquJ8XPe+sTHirqlR39tpPAaXhnhftz+YcWG6fEPDQaiCLNaisifZ1rP6cAyWqQKNH7Yt2lqvr3Ewit6DmRkQkH0i2phF54Dw/7zzJyr9jSUxJu+Uxd4WUok+LKnRtWAE/b8+8DejhCXW62H9dOArbp8OOGXA5Juv9L0XD+k/sv4Ia2hudBo9Aicp5m1MENTciIqa5nJzKyt0xTNvvwevbIknIRkMTWNSXh5pU5LG7gqkdZNLzLaVCoONb0P412L/M3uQcWG5ftyorsbtgxS5YMQoqt4A7HrLfvioZ7NLYUniouRERcaHjFxJZs/c0q/aeZuOhc6SkpgMewI0bGx9PD8LqB/FIs0rcW6ssXvllIUtPb6j3/9u79+ioqnsP4N9z5pmQyQNCngQ0CRDkWYnEgBjwgrFBWtdV5FYXxbZKW8HVRVpbBGmoWqHWKutSWpbWFv5Qae3VXBdEFKMjKxDrApJbEAKS8DJhQhISZvKa19n3jzOTBySQiZmZzOT7WWuvk9lnn8k+PyZnfpyzzz73q6X1sno7eeWbwOUT/W/z9Rdq+XA9kJoNTFkKZN0PxGcGrt8U9pjcEBH5kcOl4OiFZhw43YBPqi7fcIK9nmQJmJcZj6UzUpA/NQkxkcP8IZZRCcDcNUDuavV28WPvAMf/p+/JAb1qD6vl4yIgfjKQVQBMXgKk3q5eBiMaJCY3RERDSAiB6oZWHDzThAOnG1Be0zSg8TOAOvHvHRNG4/6Zyfj2tGSMNfUzL81wJklAyiy1LH4OOFemJjon3wc6b3C3V+MpoOwUUPYqEDkGyFwMTFwMZNyjDmom8gGTGyKib0AIgXNN7SivbkJ5TRM+r2lCg62PeWH6odNIyDS58WjeNORPSwnNhKY/sgZIz1PLkleAGjNw4n+Bqj1AZ0v/27U3dd91JclA6mwgfSGQsVC9lKXVB2wXKDQxuSEi8oHTreDLOisOn7uCw+eacfj8lZtOqHet2EgdFk5OwMKsBMy7NRZln+5HQfY46HTD/NLTN6HVA5PuVYvrVeDsATXJOVUCtNb3v51QuufROfASoI8CJswDbp0P3HIXkDSDl7DoOkxuiIj6IYTA180dqLjYgsoLLai82Iwv66ywu24870xfpqVGY/7EsfiPrAR8a3wcNJ4J9pzO/p8HFba0+u6ZkJe8AtQd9SQ6HwANVTfe1tEKfPWhWgDAEA1MmAuMzwXScoCUbwE6o//3gYY1JjdERADcisD5pjZ8WWfF8bqrOF57FcdrrTd8GOWNJEYbcFfmWNw9KR7zMuP7f67TSCfL6pPGx2UDizapc+h8tV8tZw8Aro4bb2+3Aqf3qQUANHogeRYwPke9hJU6W51bh08yH1GY3BDRiCKEQL3Vjq8u2/BVfSuqLFZUWWw4XW9Dp9P3MzJe8VEG5GaMQW76GORmjMEtYyIh8QvVd3G3AHOeUIuzA7hQDlR/qj7I03Ls5tu7Hd23m3uNSgBSZ0NOmoHEqw7A9i0gLo0JTxhjckNEYanT6cb5pnacbWxFdUMbzja2obqhFWfqW2Gzu77x+2cmRCF7QhyybxmN7AlxmMBkZujpItS7pTLuUV+3NgBnP1PvwDpXBjR9NbD3absMnP4AmtMf4E4A+O9XgVFj1fE6iVPVkjBFvR2dl7TCApMbIgpJLreCepsdtc0dqG1px8UrHbhwpR0XrrTj4pV2WKydEH08/mgw4iJ1mJUWi1lpcZg1PhYzx8UgNpJ37ARc1Fhg+kNqAQCbRU1yzh8CLv5LfZJ5X8+86ktbA1BdqhYvSQOMTgfiJwFjJ6nJzthJwOgMICJ2yHeH/IfJDRENO51ONy5b7bhs68Rlmx2Wq52wWDtx6WonLFc7UNeivnYrQ5S99BAfZcC01GhMT43B1JQYTEuNRmpsBM/KDEempN7JTudV9a6qC/8Cao+o5Ua3nF9LuNWzQU1fAaf29l4XMRoYk6EmP3G3AnETgNjxQOwEIDqFd2wNM0xuiMivhBBoc7jR0u5AS7sTze0ONLc70dzmwBVPaWy1o6nVgcY2Oxpsdtg6v/llo5uJ1GswMSEKExNNyEoyYUpyNCYnmTjwN5QZY4DMRWoBACGAKzVA7VGg9giUS5Vwf10BndLp+3t3XAG+vqImT9eStYApGYhOBWJS1WQnOhWISlQTMFMSEJUE6CO/2f7RgA2L5Gb79u34/e9/D4vFgpkzZ2Lbtm2YM2dOv+3feecdbNy4EefOncPEiRPxu9/9DgUFBQHscW92lxtX2hzQQIHDrR7MiUKZogh0ONxocwKXrnbCodjR7nChze5Gh9OFVrsbbXYX2uwu2DrVZavdBWunE7ZOF6wd6rKlwwlrhxMuP5xhGaikaCNujR+FW8eOQnr8KGR6EprkaCNkmWdjwpokqWdbxmQAM5bB7XSiZO8eFOTeBl3Dl0D9caD+hPosrJbzg/89igu4elEtF2/QTh8FjIoHIuPVMT+jxqhnhCLi1FmYI+IAYyxgjFYTNWOsequ7Zlh8VYeUoEfs73//OwoLC7Fjxw7k5ORg69atyM/Px6lTp5CQkHBd+0OHDuF73/seNm/ejPvvvx9vvfUWHnjgARw9ehTTpk0Lwh4AJy/Z8MD2g55XWjz9xX4YdTKMOg2MWg2MOhkGrQYGnQyDVoZeK0OnkaHXqD/rterPOo0MrUaC3rPUyjK0sgStRoZOI0EjS9DKEjSeelmWoJEBWVLXaSRPnSRBlgFJ8vwsSZAk9e9cliRIAGRZXUredd6fga72Xt6f1bXoeq+edde27VU3gBj6csbf6XTB0g6cudwKnc63j/BA8s6+mni3E561Xa9F/3XqUk12Rdd6tV4RgCIEFE+jnq8VIeBWPK8VAbcQcCtqvcvdvd6tKHAp6jqnW8DlVuBU1KVLEXC6Fbjc6tLhUuBwK3C6FdhdnteeOrtTQafLjU6nG3aXgk6nu8ddQ1rg8AGfYhxoRp2MlNgIjIuLxITRkRg/OhJpnuWEMZEYZQj6YY6GE0lWLy0lTgam/Wd3vd0GXK4CGk+rj4Jo8Cybz6kTCQ4FR6tams/5tp3WqCZGhihAb1LPAOm8JaK7aA1qW60B0BjU2+K1enWp0atnmGSt+sBTWateSpM01yxlz0FeVgu8B/xrl0Cvo3vPg7jLhajOWnU/EyZ+k4gNmiSCfJohJycHd9xxB/74xz8CABRFQVpaGp566imsW7fuuvbLly9HW1sb9uzZ01V35513YtasWdixY8dNf5/VakVMTAyuXr2K6OjoIdmHz2ua8F+vfT4k70VE3Yw6GQkmIxKjDUiKiUByjBFJ0UYkxxiREhuB1LgIjBmlD+nxME6nEyUlJSgoKAjvGYqHgUHF2uUAWi6ol7eu1ABXqoHm82pdy3nA2e7fTocwkTAV0pOHhuz9fPn+Dup/aRwOB44cOYJnnnmmq06WZSxatAjl5eV9blNeXo7CwsJedfn5+SguLu6zvd1uh93e/ZwXq9UKQP2QD9XMoG2dvk29TjRSaWQJMRFaxEXqERepQ1ykHqNH6TFmlB5jojzLUXqMNRmQYNIjyqC9aeLicvl/fI4/eY9DI3Km4gAbXKwlIGaCWm5d2HuVEEB7E6SrFwDrJUi2WsBaC8laC9gskFrrgdbLkJxtQ7cTIUQIAdcQfq59+XcLanLT2NgIt9uNxMTEXvWJiYmoqup7Cm6LxdJne4vF0mf7zZs34ze/+c119R999BEiI4dmcNf/NUkAOFKewptOEtBrAIMG0Mvq0qgRnqVaIjSAUSs8SyBSA0RqBSK1QKRW3UaWnACumXXWAeCKWjwLnAr4HgbX/v37g92FEcM/sZYAjFOLAWqJV9do3R0wOFtgcNlgcFmhd1k9y1a1uFuhc7WpS3c7dK52yBjYk+SHM5vNBnNJyZC9X3v7wM+Shf3F6GeeeabXmR6r1Yq0tDTce++9Q3ZZ6l63gtUON1o77PjYfADZOblwCtkzdsENh0vA7lLHM9g94xx6jnlwuNQxEt7xEWoRnjrvOArPmAvPGIueRRE9lz3HbqgDQwV61Cnd40GUnmNDeowL8V6n9F6x7KsO6Fk3JGEc9rrHGXlfd59RkK5tI3nHNKFrHBMkdYyS3GP8E9A9ZspbJ3ct1TFV3rFTGlktsgxoJHUsllburtd6i0aGzrPUayXoPOO5dBqpa6yXQdc95suoVceEGXWe1zoNInQytJLAF4fKkL9oIUwRBmg1ciDCPOI4nU7s378fixcv5mUpPwuVWLuFgNvVod7abrdB8o7VsatLydmuzt7cc+myQ3J1At7idqqzNXuWktuhDnxWnIDiVusVlzqeSLjVOuH2DBRUehcIQAhIA51DyMNkMg3pzT7eKy8DEdTkJj4+HhqNBvX1vZ8IW19fj6SkpD63SUpK8qm9wWCAwXD9rZ06nW7IPtw6HRBhBKIjdIg3Arelxg3rP5xA8seQLvW6+QcoKPj2kMU5lMds+IvT6USVHoiLiuDnOQCG8phENxYSsdbrgciYYPdiYK45znePbRq6YzQAn94rqP8V0+v1mD17NkpLu2eIVBQFpaWlyM3N7XOb3NzcXu0B9RRjf+0puNS7sfxRhva9iYhokLy30F5XgpdiBP2yVGFhIVauXIns7GzMmTMHW7duRVtbG37wgx8AAL7//e8jNTUVmzdvBgD87Gc/Q15eHv7whz9gyZIl2L17Nw4fPozXXnstmLtBREREw0TQk5vly5ejoaEBv/71r2GxWDBr1izs27eva9DwhQsXIMvd2d/cuXPx1ltv4dlnn8X69esxceJEFBcXB22OGyIiIhpegp7cAMCaNWuwZs2aPteZzebr6pYtW4Zly5b5uVdEREQUinj7AxEREYUVJjdEREQUVpjcEBERUVhhckNERERhhckNERERhRUmN0RERBRWmNwQERFRWGFyQ0RERGGFyQ0RERGFlWExQ3EgeZ9S7cuj0wfK6XSivb0dVqt1+D9xNoQxzoHBOAcG4xw4jHVg+CvO3u9tcc1TyPsy4pIbm80GAEhLSwtyT4iIiMhXNpsNMTExN2wjiYGkQGFEURTU1dXBZDJBkqQhfW+r1Yq0tDRcvHgR0dHRQ/re1I1xDgzGOTAY58BhrAPDX3EWQsBmsyElJaXXA7X7MuLO3MiyjHHjxvn1d0RHR/MPJwAY58BgnAODcQ4cxjow/BHnm52x8eKAYiIiIgorTG6IiIgorGg2bdq0KdidCCcajQYLFiyAVjvirvgFFOMcGIxzYDDOgcNYB0aw4zziBhQTERFReONlKSIiIgorTG6IiIgorDC5ISIiorDC5IaIiIjCCpMbH23fvh233HILjEYjcnJy8MUXX9yw/TvvvIOsrCwYjUZMnz4dJSUlAeppaPMlzq+//jrmz5+PuLg4xMXFYdGiRTf9dyGVr59nr927d0OSJDzwwAN+7mF48DXOLS0tWL16NZKTk2EwGDBp0iQeOwbA1zhv3boVkydPRkREBNLS0rB27Vp0dnYGqLeh6cCBA1i6dClSUlIgSRKKi4tvuo3ZbMbtt98Og8GAzMxM7Ny50/8dFTRgu3fvFnq9Xvz1r38VX375pXjiiSdEbGysqK+v77P9wYMHhUajES+99JI4ceKEePbZZ4VOpxPHjh0LcM9Di69xfuSRR8T27dtFRUWFOHnypHjsscdETEyM+PrrrwPc89Dia5y9zp49K1JTU8X8+fPFd7/73QD1NnT5Gme73S6ys7NFQUGBKCsrE2fPnhVms1lUVlYGuOehxdc4v/nmm8JgMIg333xTnD17Vnz44YciOTlZrF27NsA9Dy0lJSViw4YN4t133xUAxHvvvXfD9jU1NSIyMlIUFhaKEydOiG3btgmNRiP27dvn134yufHBnDlzxOrVq7teu91ukZKSIjZv3txn+4cfflgsWbKkV11OTo748Y9/7Nd+hjpf43wtl8slTCaT2LVrl7+6GBYGE2eXyyXmzp0r/vKXv4iVK1cyuRkAX+P85z//WaSnpwuHwxGoLoYFX+O8evVqcc899/SqKywsFPPmzfNrP8PJQJKbX/7yl2Lq1Km96pYvXy7y8/P92TXBy1ID5HA4cOTIESxatKirTpZlLFq0COXl5X1uU15e3qs9AOTn5/fbngYX52u1t7fD6XRi9OjR/upmyBtsnJ977jkkJCTgRz/6USC6GfIGE+f3338fubm5WL16NRITEzFt2jS8+OKLcLvdgep2yBlMnOfOnYsjR450XbqqqalBSUkJCgoKAtLnkSJY34OconGAGhsb4Xa7kZiY2Ks+MTERVVVVfW5jsVj6bG+xWPzWz1A3mDhf61e/+hVSUlKu+4OiboOJc1lZGd544w1UVlYGoothYTBxrqmpwSeffIJHH30UJSUlOHPmDJ588kk4nU4UFRUFotshZzBxfuSRR9DY2Ii77roLQgi4XC785Cc/wfr16wPR5RGjv+9Bq9WKjo4ORERE+OX38swNhZUtW7Zg9+7deO+992A0GoPdnbBhs9mwYsUKvP7664iPjw92d8KaoihISEjAa6+9htmzZ2P58uXYsGEDduzYEeyuhRWz2YwXX3wRf/rTn3D06FG8++672Lt3L55//vlgd42GAM/cDFB8fDw0Gg3q6+t71dfX1yMpKanPbZKSknxqT4OLs9fLL7+MLVu24OOPP8aMGTP82c2Q52ucq6urce7cOSxdurSrTlEUAIBWq8WpU6eQkZHh306HoMF8npOTk6HT6aDRaLrqpkyZAovFAofDAb1e79c+h6LBxHnjxo1YsWIFHn/8cQDA9OnT0dbWhlWrVmHDhg2QZf7ffyj09z0YHR3tt7M2AM/cDJher8fs2bNRWlraVacoCkpLS5Gbm9vnNrm5ub3aA8D+/fv7bU+DizMAvPTSS3j++eexb98+ZGdnB6KrIc3XOGdlZeHYsWOorKzsKt/5znewcOFCVFZWIi0tLZDdDxmD+TzPmzcPZ86c6UoeAeD06dNITk5mYtOPwcS5vb39ugTGm1AKPnJxyATte9Cvw5XDzO7du4XBYBA7d+4UJ06cEKtWrRKxsbHCYrEIIYRYsWKFWLduXVf7gwcPCq1WK15++WVx8uRJUVRUxFvBB8DXOG/ZskXo9Xrxz3/+U1y6dKmr2Gy2YO1CSPA1ztfi3VID42ucL1y4IEwmk1izZo04deqU2LNnj0hISBAvvPBCsHYhJPga56KiImEymcTbb78tampqxEcffSQyMjLEww8/HKxdCAk2m01UVFSIiooKAUC88soroqKiQpw/f14IIcS6devEihUrutp7bwV/+umnxcmTJ8X27dt5K/hwtG3bNjF+/Hih1+vFnDlzxOeff961Li8vT6xcubJX+3/84x9i0qRJQq/Xi6lTp4q9e/cGuMehyZc4T5gwQQC4rhQVFQW+4yHG189zT0xuBs7XOB86dEjk5OQIg8Eg0tPTxW9/+1vhcrkC3OvQ40ucnU6n2LRpk8jIyBBGo1GkpaWJJ598UjQ3Nweh56Hj008/7fN4643typUrRV5e3nXbzJo1S+j1epGeni7+9re/+b2fkhA8/0ZEREThg2NuiIiIKKwwuSEiIqKwwuSGiIiIwgqTGyIiIgorTG6IiIgorDC5ISIiorDC5IaIiIjCCpMbIiIiCitMbogopDQ0NOCnP/0pxo8fD4PBgKSkJOTn5+PgwYPB7hoRDRN8KjgRhZQHH3wQDocDu3btQnp6Ourr61FaWoqmpqZgd42Ihgk+foGIQkZLSwvi4uJgNpuRl5d33fpf/OIXqKqqwp49ewAAW7duxdq1a/HBBx/gvvvuAwBkZmZiMp1tBAAAAiFJREFU3bp1ePzxxwPadyIKHF6WIqKQERUVhaioKBQXF8Nut1+3Pi8vD2VlZXC73QCAzz77DPHx8TCbzQCA2tpaVFdXY8GCBQHsNREFGpMbIgoZWq0WO3fuxK5duxAbG4t58+Zh/fr1+Pe//w0AmD9/Pmw2GyoqKiCEwIEDB/Dzn/+8K7kxm81ITU1FZmZmEPeCiPyNyQ0RhZQHH3wQdXV1eP/993HffffBbDbj9ttvx86dOxEbG4uZM2fCbDbj2LFj0Ov1WLVqFSoqKtDa2orPPvusz8tZRBRemNwQUcgxGo1YvHgxNm7ciEOHDuGxxx5DUVERAGDBggUwm81diczo0aMxZcoUlJWVMbkhGiGY3BBRyLvtttvQ1tYGoHvcTWlpadfYmgULFuDtt9/G6dOnOd6GaATg3VJEFDKampqwbNky/PCHP8SMGTNgMplw+PBhPPXUU1iyZAneeOMNNDc3Iz4+HpIk4fjx48jKykJxcTEeeughJCQkoK6uLti7QUR+xnluiChkREVFIScnB6+++iqqq6vhdDqRlpaGJ554AuvXrwcAxMXFYfr06aivr0dWVhYA4O6774aiKLwkRTRC8MwNERERhRWOuSEiIqKwwuSGiIiIwgqTGyIiIgorTG6IiIgorDC5ISIiorDC5IaIiIjCCpMbIiIiCitMboiIiCisMLkhIiKisMLkhoiIiMIKkxsiIiIKK0xuiIiIKKz8P2iTM4vPcKJgAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xix5IutcXxWX",
        "colab_type": "text"
      },
      "source": [
        "2. **Naar-Henderson's Model**\n",
        "\n",
        "$Swn = \\frac {Sw - Swirr}{1 - Swirr}  $\n",
        "\n",
        "$Krw = Swn^4$\n",
        "\n",
        "$Kro = (1 - 2*Swn)^(\\frac{3}{2}) * [ 2 - \\sqrt (1 - 2*Swn)]$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TWpMKtREWCpI",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 563
        },
        "outputId": "63649ce8-f223-4385-fb2e-bda81e788298"
      },
      "source": [
        "Swn = (Sw - Swirr)/(1-Swirr)\n",
        "\n",
        "Krw = Swn**4\n",
        "\n",
        "Kro_h = ((1 - 2*Swn)**(1.5))*(2 - (1-2*Swn)**(0.5))\n",
        "\n",
        "plt.style.use('default')\n",
        "plt.plot(Sw,Krw,label='Krel-water(Wetting P.)',linewidth=3,color='green')\n",
        "plt.plot(Sw,Kro_h,color='r',label='Krel-Oil(Non-Wetting P.)',linewidth=3)\n",
        "plt.title(\"Rel-Perm by Naar-Henderson's Model\")\n",
        "plt.xlabel('Sw')\n",
        "plt.ylabel('Krel(o,w)')\n",
        "plt.grid()\n",
        "plt.legend(loc='best')"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in power\n",
            "  \"\"\"\n",
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:5: RuntimeWarning: invalid value encountered in sqrt\n",
            "  \"\"\"\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7f4c45ee4390>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 24
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TUMZ00lWZAns",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}